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Finding the Fourth Proportional to 12,165.20, 18,264 and 8,229.68

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Solution

The fourth proportional to 12,165.20, 18,264 and 8,229.68 is: 12,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.20 : 18,264 = 8,229.68 : x
  2. Step 2: Convert to fraction form
    12,165.20/18,264 = 8,229.68/x
  3. Step 3: Cross multiply
    12,165.20x = 18,264 × 8,229.68
  4. Step 4: Simplify right side
    12,165.20x = 150,306,875.52
  5. Step 5: Solve for x
    x = 150,306,875.52/12,165.20
  6. Step 6: Final answer
    x = 12,355.48

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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.