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Finding the Fourth Proportional to 8,100.80, 11,177.40 and 4,743.92

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Solution

The fourth proportional to 8,100.80, 11,177.40 and 4,743.92 is: 6,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.80 : 11,177.40 = 4,743.92 : x
  2. Step 2: Convert to fraction form
    8,100.80/11,177.40 = 4,743.92/x
  3. Step 3: Cross multiply
    8,100.80x = 11,177.40 × 4,743.92
  4. Step 4: Simplify right side
    8,100.80x = 53,024,691.41
  5. Step 5: Solve for x
    x = 53,024,691.41/8,100.80
  6. Step 6: Final answer
    x = 6,545.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.