Question

ratios, rates, and proportions: medium
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an interior decorator wants the height of a chandelier to be proportional to the ceiling height of the room it lights. if the decorator determines that a 20 inch (in) chandelier is ideal for an 8 foot (ft) ceiling, how many inches tall would the chandelier be for a room with an 11 ft ceiling?
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Explanation:

Step1: Set up proportion

Let $x$ be the height of the chandelier for an 11 - ft ceiling. Since the height of the chandelier is proportional to the ceiling height, we have the proportion $\frac{20}{8}=\frac{x}{11}$.

Step2: Cross - multiply

Cross - multiplying gives us $8x = 20\times11$.

Step3: Solve for $x$

First, calculate $20\times11 = 220$. Then, $x=\frac{220}{8}=\frac{55}{2}=27.5$.

Answer:

27.5