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

Answer 1

To determine the denominator that will make the ratios \( \frac{21}{3} \) and \( \frac{49}{?} \) proportional, we need to set up the equation:

\[ \frac{21}{3} = \frac{49}{x} \]

where \( x \) is the unknown denominator we want to find.

First, we calculate \( \frac{21}{3} \):

\[ \frac{21}{3} = 7 \]

So the equation becomes:

\[ 7 = \frac{49}{x} \]

To solve for \( x \), we can cross-multiply:

\[ 7x = 49 \]

Next, divide both sides by 7:

\[ x = \frac{49}{7} = 7 \]

Thus, the denominator that will make the ratios proportional is \( \boxed{7} \).