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Finding the Fourth Proportional to 8,473.38, 12,711.92 and 3,475.78

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Solution

The fourth proportional to 8,473.38, 12,711.92 and 3,475.78 is: 5,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.38 : 12,711.92 = 3,475.78 : x
  2. Step 2: Convert to fraction form
    8,473.38/12,711.92 = 3,475.78/x
  3. Step 3: Cross multiply
    8,473.38x = 12,711.92 × 3,475.78
  4. Step 4: Simplify right side
    8,473.38x = 44,183,818.55
  5. Step 5: Solve for x
    x = 44,183,818.55/8,473.38
  6. Step 6: Final answer
    x = 5,214.43

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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.