What denominator for 21/3=49/? would make these ratios proportional?(1 point)
The denominator that would make the ratios proportional is 7.
To make the ratios proportional, we need to find the missing numerator that corresponds to the given denominator. We can set up the following equation:
21/3 = 49/x
To find the missing numerator (x), we can cross multiply:
21x = 3 * 49
Now, we can solve for x by dividing both sides of the equation by 21:
x = (3 * 49) / 21
Simplifying the right side of the equation:
x = 147 / 21
x = 7
Therefore, the denominator for the ratio 21/3 = 49/x that would make the ratios proportional is 7.
To determine the missing denominator that would make the ratios proportional, we can use the concept of cross-multiplication.
First, let's write the given ratios:
21/3 and 49/x
To check if the ratios are proportional, we need to determine if the cross-products are equal.
Cross-product of the first ratio: 21 * x = 21x
Cross-product of the second ratio: 3 * 49 = 147
For the ratios to be proportional, the cross-products must be equal.
Therefore, we need to set up the equation: 21x = 147.
To find the value of x, we divide both sides of the equation by 21:
(21x)/21 = 147/21
Simplifying the equation, we have:
x = 7
Therefore, the denominator that would make the ratios proportional is 7.