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Finding the Fourth Proportional to 31,397.80, 47,096.70 and 8,023.90

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Solution

The fourth proportional to 31,397.80, 47,096.70 and 8,023.90 is: 12,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397.80 : 47,096.70 = 8,023.90 : x
  2. Step 2: Convert to fraction form
    31,397.80/47,096.70 = 8,023.90/x
  3. Step 3: Cross multiply
    31,397.80x = 47,096.70 × 8,023.90
  4. Step 4: Simplify right side
    31,397.80x = 377,899,211.13
  5. Step 5: Solve for x
    x = 377,899,211.13/31,397.80
  6. Step 6: Final answer
    x = 12,035.85

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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.