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Finding the Fourth Proportional to 13,587, 20,380.43 and 8,251.53

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Solution

The fourth proportional to 13,587, 20,380.43 and 8,251.53 is: 12,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587 : 20,380.43 = 8,251.53 : x
  2. Step 2: Convert to fraction form
    13,587/20,380.43 = 8,251.53/x
  3. Step 3: Cross multiply
    13,587x = 20,380.43 × 8,251.53
  4. Step 4: Simplify right side
    13,587x = 168,169,688.30
  5. Step 5: Solve for x
    x = 168,169,688.30/13,587
  6. Step 6: Final answer
    x = 12,377.25

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Why These Related Problems?

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