Worksheet given in this section will be much useful for the students who would like to practice solving word problems on proportion.

We use cross product rule in proportion to solve many real world problems.

Let us consider the proportion.

a : b = c : d

To know the cross product rule, first we have to know about extremes and means.

It has been explained in the picture given below.

**Cross Product Rule :**

Product of extremes = Product of means

ad = bc

**Problem 1 :**

If you can buy one can of pineapple chunks for $2 then how many can you buy with $10 ?

**Problem 2 :**

Shawna reduced the size of a rectangle to a height of 2 in. What is the new width, if it was originally 24 in wide and 12 in tall ?

**Problem 3 :**

One cantaloupe costs $2. How many cantaloupes can we buy for $6 ?

**Problem 4 :**

Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many Tala would she get if she exchanged $6 ?

**Problem 5 :**

Jasmine bought 32 kiwi fruit for $16. How many kiwi she Lisa buy, if she has $4 ?

**Problem 1 :**

If you can buy one can of pineapple chunks for $2 then how many can you buy with $10 ?

**Solution :**

From the given information, number of cans of pineapple chunks and the cost are in the ratio

1 : 2

Let 'x' be the number of cans that we buy.

Then,

1 : 2 = x : 10

1(10) = 2x

10 = 2x

5 = x

So, we can buy 5 apples with $10.

**Problem 2 :**

Shawna reduced the size of a rectangle to a height of 2 in. What is the new width, if it was originally 24 in wide and 12 in tall ?

**Solution :**

From the given information, the width and height of the rectangle are in the ratio

24 : 12 = 2 : 1

Because the original width and height of the rectangle are in the ratio 2 : 1, the width and height of he resized rectangle will also be in the same ratio.

And also, the height of the rectangle is reduced to 2 inches.

Let 'x' be the width of the resized rectangle.

Then,

2 : 1 = x : 2

2(2) = 1(x)

4 = x

So, the width of the resized rectangle is 4 inches.

**Problem 3 :**

One cantaloupe costs $2. How many cantaloupes can we buy for $6 ?

**Solution :**

From the given information, number of cans of pineapple chunks and the cost are in the ratio

1 : 2

Let 'x' be the number of cantaloupe that we buy.

Then,

1 : 2 = x : 6

1(6) = 2(x)

6 = 2x

3 = x

So, we can buy 3 cantaloupes for $6.

**Problem 4 :**

Ming was planning a trip to Western Samoa.
Before going, she did some research and
learned that the exchange rate is 6 Tala for
$2. How many Tala would she get if she
exchanged $6 ?

**Solution :**

From the given information, the exchange rate of Tala and Dollar are in the ratio

6 : 2 = 3 : 1

Let 'x' be the number of Tala that Ming would expect.

Then,

3 : 1 = x : 6

3(6) = 1(x)

18 = x

So, Ming would get 18 Tala, if she exchanged $6.

**Problem 5 :**

Jasmine bought 32 kiwi fruit for $16. How
many kiwi she Lisa buy, if she has $4 ?

**Solution :**

From the given information, we come to know that number of kiwi fruits to the cost is in the ratio

32 : 16 = 2 : 1

Let 'x' be the number of kiwi that jasmine buy for $4.

2 : 1 = x : 4

2(4) = 1(x)

8 = x

So, Jasmine can buy 8 kiwi fruits for $4.

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