solve the porportion:
9/12=15/?
please help.
9 and 15 are the numerators
12 and ? are the denominators
Start the problem by setting up an equation by multiplying the numerators with the denominators like this:
9 x ? = 12 x 15
Now just solve for ?
It is ok to cross multiply but I prefer to multiply both sides by the product of the denominators. It is easier to justify by the rules of equation solving.
(9/12)(12 x) = (15/x)(12 x)
9 x = 15*12
To solve the proportion, you need to cross multiply.
The given proportion is:
9/12 = 15/?
Cross multiplying gives us:
9 * ? = 12 * 15
Multiplying the numbers on both sides gives us:
9 * ? = 180
Now, to solve for ?, we need to divide both sides by 9:
? = 180 / 9
Reducing the fraction gives us:
? = 20
So, the missing value in the proportion is 20.
To solve the proportion 9/12 = 15/?, you can use cross-multiplication.
First, cross-multiply by multiplying the numerator of the first fraction by the denominator of the second fraction, and vice versa.
For example:
9 * ? = 12 * 15
Now, you can solve for the missing value by isolating the variable. In this case, the variable is represented by the question mark (?).
Divide both sides of the equation by 9:
? = (12 * 15) / 9
To simplify further:
? = 180 / 9
? = 20
Therefore, the missing value is 20.
So, the proportion is solved, and the missing value is 20.