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Finding the Fourth Proportional to 8,324.92, 12,490.62 and 7,644.52

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Solution

The fourth proportional to 8,324.92, 12,490.62 and 7,644.52 is: 11,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.92 : 12,490.62 = 7,644.52 : x
  2. Step 2: Convert to fraction form
    8,324.92/12,490.62 = 7,644.52/x
  3. Step 3: Cross multiply
    8,324.92x = 12,490.62 × 7,644.52
  4. Step 4: Simplify right side
    8,324.92x = 95,484,794.40
  5. Step 5: Solve for x
    x = 95,484,794.40/8,324.92
  6. Step 6: Final answer
    x = 11,469.76

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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.