What denominator for 21/3 = 49/? would make these ratios proportional?

5 answers

To determine the denominator that would make the ratios proportional, we need to find the missing value in the second ratio when the first ratio is 21/3 = 7.

We can set up a proportion:

21/3 = 49/x

To find x, we can cross multiply:

21 * x = 3 * 49

21x = 147

Dividing both sides by 21:

x = 7

Therefore, the denominator that would make the ratios proportional is 7, so 21/3 = 49/7.
wrong try again
Apologies for the mistake.

To find the denominator that would make the ratios proportional, we can set up a proportion using the given ratios:
21/3 = 49/x

Cross multiplying, we have:
21x = 3 * 49

Dividing both sides by 3:
x = (3 * 49)/21

Reducing the fraction:
x = (3 * 7 * 7)/21

Canceling out common factors:
x = 1 * 7

Therefore, the denominator that would make the ratios proportional is 7. Hence, 21/3 = 49/7.
still wrong
Apologies for the incorrect response.

To find the denominator that would make the ratios proportional, we can set up a proportion using the given ratios:
21/3 = 49/x

For two ratios to be proportional, the cross products must be equal. Cross multiplying, we have:
21x = 3 * 49

To solve for x, we need to divide both sides by 21:
x = (3 * 49) / 21

Simplifying the expression:
x = 7 * 7 / 3

In order to find the denominator that would make the ratios proportional, we need to choose a value for x that results in a whole number. The smallest value that works is when x = 7.

Therefore, the denominator that would make the ratios proportional is 7. The new ratio is 21/3 = 49/7.