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Finding the Fourth Proportional to 16,251.84, 24,380.80 and 5,155.56

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Solution

The fourth proportional to 16,251.84, 24,380.80 and 5,155.56 is: 7,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,251.84 : 24,380.80 = 5,155.56 : x
  2. Step 2: Convert to fraction form
    16,251.84/24,380.80 = 5,155.56/x
  3. Step 3: Cross multiply
    16,251.84x = 24,380.80 × 5,155.56
  4. Step 4: Simplify right side
    16,251.84x = 125,696,677.25
  5. Step 5: Solve for x
    x = 125,696,677.25/16,251.84
  6. Step 6: Final answer
    x = 7,734.30

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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.