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Finding the Fourth Proportional to 10,424.60, 15,640.10 and 8,234.20

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Solution

The fourth proportional to 10,424.60, 15,640.10 and 8,234.20 is: 12,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.60 : 15,640.10 = 8,234.20 : x
  2. Step 2: Convert to fraction form
    10,424.60/15,640.10 = 8,234.20/x
  3. Step 3: Cross multiply
    10,424.60x = 15,640.10 × 8,234.20
  4. Step 4: Simplify right side
    10,424.60x = 128,783,711.42
  5. Step 5: Solve for x
    x = 128,783,711.42/10,424.60
  6. Step 6: Final answer
    x = 12,353.83

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1.5x scale

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.