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Finding the Fourth Proportional to 8,517.76, 12,781.58 and 3,587

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Solution

The fourth proportional to 8,517.76, 12,781.58 and 3,587 is: 5,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.76 : 12,781.58 = 3,587 : x
  2. Step 2: Convert to fraction form
    8,517.76/12,781.58 = 3,587/x
  3. Step 3: Cross multiply
    8,517.76x = 12,781.58 × 3,587
  4. Step 4: Simplify right side
    8,517.76x = 45,847,527.46
  5. Step 5: Solve for x
    x = 45,847,527.46/8,517.76
  6. Step 6: Final answer
    x = 5,382.58

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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.