Question

For what value of R is the equation 8 / 12 = 10 / R true?

Answer 1

If we have the equation:

$\frac{8}{12}=\frac{10}{R}$

We can do the following to solve the equation:

By the proportions property, we can say that:

8 * R = 12 * 10

Then, if we divide both sides of the equation by 8, we have:

$\frac{8}{8}\cdot R=\text{ }\frac{12\cdot10}{8}\Rightarrow R=\frac{120}{8}\Rightarrow R=15$

Therefore, the value for R in the proportion is R = 15.

We can check this:

$\frac{8}{12}=\frac{10}{15}=\frac{2}{3}$

Then, the proportion remains when R = 15.