DO THE RATIOS FORM A PROPORTION WORKSHEET

In each case. check whether the given two ratios form a proportion.

Problem 1 :

4 : 2 and 20 : 6 

Problem 2 :

6/9 and 2/3

Problem 3 :

4/3 and 16/12

Problem 4 :

12 : 24 and 3 : 4

1. Answer :

4 : 2 and 20 : 6

Product of extremes  =  4 x 6  =  24

Product of means  =  2 x 20  =  40

Product of extremes  ≠  Product of means

The given two ratios do not satisfy the cross product rule of proportion. 

So, the two ratios 4 : 2 and 20 : 6 do not form a proportion. 

2. Answer :

6/9 and 2/3

Product of extremes  =  6 x 3  =  18

Product of means  =  9 x 2  =  18

Product of extremes  =  Product of means

The given two ratios satisfy the cross product rule of proportion. 

So, the two ratios 6/9 and 2/3 form a proportion. 

3. Answer :

4/3 and 16/12

Product of extremes  =  4 x 12  =  48

Product of means  =  3 x 16  =  48

Product of extremes  =  Product of means

The given two ratios satisfy the cross product rule of proportion. 

So, the two ratios 4/3 and 16/12 form a proportion. 

4. Answer :

12 : 24 and 3 : 4

Product of extremes  =  12 x 4  =  48

Product of means  =  24 x 3  =  72

Product of extremes  ≠  Product of means

The given two ratios do not satisfy the cross product rule of proportion. 

So, the two ratios 12 : 24 and 3 : 4 do not form a proportion. 

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