What denominator for 21/3 = 49/?
Would make the ratios proportional
The denominator that would make the ratios proportional is 7.
To make the ratios proportional, we need to find the denominator that would make the second ratio equal to the first ratio.
Given that 21/3 = 49/?, let's find the missing denominator:
Cross-multiplying, we have:
21 * ? = 49 * 3
To solve for ?, we divide both sides of the equation by 21:
? = (49 * 3) / 21
? = 147 / 21
Simplifying the fraction, we have:
? = 7
Therefore, a denominator of 7 would make the ratios proportional.
To determine the missing denominator that would make the ratios proportional, we can use the concept of cross multiplication.
First, let's rewrite the given ratio: 21/3 = 49/x
To cross-multiply, we multiply the numerator of the first fraction (21) by the denominator of the second fraction (x) and vice versa.
So, cross-multiplying will give us: 21 * x = 3 * 49
Simplifying the equation: 21x = 147
To isolate x, we need to divide both sides of the equation by 21:
(21x)/21 = 147/21
This simplifies to:
x = 7
Therefore, the denominator that makes the ratios proportional is 7.