DO THE RATIOS FORM A PROPORTION WORKSHEET

Do the Ratios form a Proportion Worksheet :

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

Before look at the worksheet, if you wish to know, how to check whether the given two ratios form a proportion,

Do the Ratios form a Proportion Worksheet - Problems

Problem 1 :

State if the following pair of ratios forms a proportion

4/2 and 20/6

Problem 2 :

State if each pair of ratios forms a proportion

6/9 and 2/3

Problem 3 :

State if each pair of ratios forms a proportion

4/3 and 16/12

Problem 4 :

State if each pair of ratios forms a proportion

12/24 and 3/4

Problem 5 :

State if each pair of ratios forms a proportion

4/3 and 8/6

Do the Ratios form a Proportion Worksheet - Solutions

Problem 1 :

State if the following pair of ratios forms a proportion

4/2 and 20/6

Solution :

Step 1 :

Comparing the first fraction 4/2 with a/b and the second fraction 20/6 with c/d.

Step 2 :

a = 4, b = 2, c = 20 and d = 6.

Step 3 :

ad  =  4(4), bc  =  2(20)

ad  =  16, bc  =  40

Step 4 :

Hence the given fractions will not form a proportion.

Problem 2 :

State if each pair of ratios forms a proportion

6/9 and 2/3

Solution :

Step 1 :

Comparing the first fraction 6/9 with a/b and the second fraction 2/3 with c/d.

Step 2 :

a = 6, b = 9, c = 2 and d = 3

Step 3 :

ad  =  6(3), bc  =  9(2)

ad  =  18, bc  =  18

Step 4 :

Hence the given fractions form a proportion.

Problem 3 :

State if each pair of ratios forms a proportion

4/3 and 16/12

Solution :

Step 1 :

Comparing the first fraction 4/3 with a/b and the second fraction 16/12 with c/d.

Step 2 :

a = 4, b = 3, c = 16 and d = 12

Step 3 :

ad  =  4(12), bc  =  3(16)

ad  =  48, bc  =  48

Step 4 :

Hence the given fractions form a proportion.

Problem 4 :

State if each pair of ratios forms a proportion

12/24 and 3/4

Solution :

Step 1 :

Comparing the first fraction 12/24 with a/b and the second fraction 3/4 with c/d.

Step 2 :

a = 12, b = 24, c = 3 and d = 4

Step 3 :

ad  =  12(4), bc  =  24(3)

ad  =  48, bc  =  72

Step 4 :

Hence the given fractions will not form a proportion.

Problem 5 :

State if each pair of ratios forms a proportion

4/3 and 8/6

Solution :

Step 1 :

Comparing the first fraction 4/3 with a/b and the second fraction 8/6 with c/d.

Step 2 :

a = 4, b = 3, c = 8 and d = 6

Step 3 :

ad  =  4(6), bc  =  3(8)

ad  =  24, bc  =  24

Step 4 :

Hence the given fractions form a proportion.

After having gone through the stuff given above, we hope that the students would have understood, how to check whether the given ratios form a proportion

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