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Finding the Fourth Proportional to 24,187.80, 36,281.70 and 13,690.20

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Solution

The fourth proportional to 24,187.80, 36,281.70 and 13,690.20 is: 20,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,187.80 : 36,281.70 = 13,690.20 : x
  2. Step 2: Convert to fraction form
    24,187.80/36,281.70 = 13,690.20/x
  3. Step 3: Cross multiply
    24,187.80x = 36,281.70 × 13,690.20
  4. Step 4: Simplify right side
    24,187.80x = 496,703,729.34
  5. Step 5: Solve for x
    x = 496,703,729.34/24,187.80
  6. Step 6: Final answer
    x = 20,535.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.