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Finding the Fourth Proportional to 8,781.50, 12,128.28 and 6,815.90

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Solution

The fourth proportional to 8,781.50, 12,128.28 and 6,815.90 is: 9,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,781.50 : 12,128.28 = 6,815.90 : x
  2. Step 2: Convert to fraction form
    8,781.50/12,128.28 = 6,815.90/x
  3. Step 3: Cross multiply
    8,781.50x = 12,128.28 × 6,815.90
  4. Step 4: Simplify right side
    8,781.50x = 82,665,143.65
  5. Step 5: Solve for x
    x = 82,665,143.65/8,781.50
  6. Step 6: Final answer
    x = 9,413.56

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1.5x scale

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.