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Finding the Fourth Proportional to 8,254.92, 12,381.92 and 6,036.02

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Solution

The fourth proportional to 8,254.92, 12,381.92 and 6,036.02 is: 9,053.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.92 : 12,381.92 = 6,036.02 : x
  2. Step 2: Convert to fraction form
    8,254.92/12,381.92 = 6,036.02/x
  3. Step 3: Cross multiply
    8,254.92x = 12,381.92 × 6,036.02
  4. Step 4: Simplify right side
    8,254.92x = 74,737,517.53
  5. Step 5: Solve for x
    x = 74,737,517.53/8,254.92
  6. Step 6: Final answer
    x = 9,053.70

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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.