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Finding the Fourth Proportional to 8,729.76, 13,088.97 and 3,729.54

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Solution

The fourth proportional to 8,729.76, 13,088.97 and 3,729.54 is: 5,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.76 : 13,088.97 = 3,729.54 : x
  2. Step 2: Convert to fraction form
    8,729.76/13,088.97 = 3,729.54/x
  3. Step 3: Cross multiply
    8,729.76x = 13,088.97 × 3,729.54
  4. Step 4: Simplify right side
    8,729.76x = 48,815,837.17
  5. Step 5: Solve for x
    x = 48,815,837.17/8,729.76
  6. Step 6: Final answer
    x = 5,591.89

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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.