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Finding the Fourth Proportional to 8,489.31, 12,729.78 and 3,490.77

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Solution

The fourth proportional to 8,489.31, 12,729.78 and 3,490.77 is: 5,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.31 : 12,729.78 = 3,490.77 : x
  2. Step 2: Convert to fraction form
    8,489.31/12,729.78 = 3,490.77/x
  3. Step 3: Cross multiply
    8,489.31x = 12,729.78 × 3,490.77
  4. Step 4: Simplify right side
    8,489.31x = 44,436,734.13
  5. Step 5: Solve for x
    x = 44,436,734.13/8,489.31
  6. Step 6: Final answer
    x = 5,234.43

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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.