Question

a video screen is 16 in. by 12 in. tall. what is the width of the largest complete image possible for a photograph that is 2 in. wide by 3 in. tall?

Explanation:

Step1: Set up proportion

Since the ratio of width to height of the photograph should be maintained, we set up a proportion. Let $x$ be the width of the photograph on the screen. The ratio of width to height of the photograph is $\frac{2}{3}$, and the height on the screen is 12 inches. So the proportion is $\frac{x}{12}=\frac{2}{3}$.

Step2: Solve the proportion

Cross - multiply: $3x = 2\times12$. Then $3x=24$. Divide both sides by 3: $x=\frac{24}{3}=8$.

Answer:

8 in.