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Finding the Fourth Proportional to 8,489.52, 12,737.64 and 3,296.88

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Solution

The fourth proportional to 8,489.52, 12,737.64 and 3,296.88 is: 4,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.52 : 12,737.64 = 3,296.88 : x
  2. Step 2: Convert to fraction form
    8,489.52/12,737.64 = 3,296.88/x
  3. Step 3: Cross multiply
    8,489.52x = 12,737.64 × 3,296.88
  4. Step 4: Simplify right side
    8,489.52x = 41,994,470.56
  5. Step 5: Solve for x
    x = 41,994,470.56/8,489.52
  6. Step 6: Final answer
    x = 4,946.62

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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.