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Finding the Fourth Proportional to 10,520.20, 15,781.02 and 4,280.14

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Solution

The fourth proportional to 10,520.20, 15,781.02 and 4,280.14 is: 6,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.20 : 15,781.02 = 4,280.14 : x
  2. Step 2: Convert to fraction form
    10,520.20/15,781.02 = 4,280.14/x
  3. Step 3: Cross multiply
    10,520.20x = 15,781.02 × 4,280.14
  4. Step 4: Simplify right side
    10,520.20x = 67,544,974.94
  5. Step 5: Solve for x
    x = 67,544,974.94/10,520.20
  6. Step 6: Final answer
    x = 6,420.50

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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.