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Finding the Fourth Proportional to 8,781.71, 13,172.50 and 3,583.94

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Solution

The fourth proportional to 8,781.71, 13,172.50 and 3,583.94 is: 5,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,781.71 : 13,172.50 = 3,583.94 : x
  2. Step 2: Convert to fraction form
    8,781.71/13,172.50 = 3,583.94/x
  3. Step 3: Cross multiply
    8,781.71x = 13,172.50 × 3,583.94
  4. Step 4: Simplify right side
    8,781.71x = 47,209,431.73
  5. Step 5: Solve for x
    x = 47,209,431.73/8,781.71
  6. Step 6: Final answer
    x = 5,375.88

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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.