Question

Solve the proportion.

$\frac{3}{4}=\frac{y}{16}$

Short answer

The value of $y$in the given proportion is 12.

Step-by-step solution

Step 1. Given Information.

The proportion is $\frac{3}{4}=\frac{y}{16}$.

Step 2. Calculation.

Consider the proportion given:

$\frac{3}{4}=\frac{y}{16}$

Multiply each side by 16.

$\begin{array}{c}16\cdot \frac{3}{4}=16\cdot \frac{y}{16}\\ 4\cdot 3=y\text{[simplify]}\\ \text{12}=y\text{[multiply]}\end{array}$

Hence,

$\frac{3}{4}=\frac{12}{16}$

Step 3. Conclusion.

The value of $y$ in the given proportion is 12.