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Finding the Fourth Proportional to 10,331.10, 15,529.05 and 9,747.90

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Solution

The fourth proportional to 10,331.10, 15,529.05 and 9,747.90 is: 14,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.10 : 15,529.05 = 9,747.90 : x
  2. Step 2: Convert to fraction form
    10,331.10/15,529.05 = 9,747.90/x
  3. Step 3: Cross multiply
    10,331.10x = 15,529.05 × 9,747.90
  4. Step 4: Simplify right side
    10,331.10x = 151,375,626.50
  5. Step 5: Solve for x
    x = 151,375,626.50/10,331.10
  6. Step 6: Final answer
    x = 14,652.42

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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.