Example

Example: Solving a Proportion Application for Acetaminophen Dosage

Apply the proportion-solving strategy to calculate pediatric medication dosage based on a child's weight.

Problem: Pediatricians prescribe 5 milliliters (ml) of acetaminophen for every 25 pounds of a child's weight. How many milliliters of acetaminophen will the doctor prescribe for Emilia, who weighs 60 pounds?

  1. Identify what to find and assign a variable: How many ml of acetaminophen should be prescribed? Let aa = ml of acetaminophen.
  2. Translate into a proportion, ensuring units are consistent on both sides (milliliters over pounds): 525=a60\frac{5}{25} = \frac{a}{60}
  3. Solve the proportion. First, simplify the fraction on the left side: 15=a60\frac{1}{5} = \frac{a}{60}. Multiply both sides by 60 to clear the denominator: 6015=60a6060 \cdot \frac{1}{5} = 60 \cdot \frac{a}{60}, which yields a=12a = 12.
  4. Answer: The pediatrician will prescribe 12 ml of acetaminophen for Emilia.

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Updated 2026-06-25

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