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Finding the Fourth Proportional to 8,337.31, 12,509.46 and 3,654.90

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Solution

The fourth proportional to 8,337.31, 12,509.46 and 3,654.90 is: 5,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.31 : 12,509.46 = 3,654.90 : x
  2. Step 2: Convert to fraction form
    8,337.31/12,509.46 = 3,654.90/x
  3. Step 3: Cross multiply
    8,337.31x = 12,509.46 × 3,654.90
  4. Step 4: Simplify right side
    8,337.31x = 45,720,825.35
  5. Step 5: Solve for x
    x = 45,720,825.35/8,337.31
  6. Step 6: Final answer
    x = 5,483.88

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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.