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Finding the Fourth Proportional to 8,691.48, 13,040 and 5,180.76

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Solution

The fourth proportional to 8,691.48, 13,040 and 5,180.76 is: 7,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.48 : 13,040 = 5,180.76 : x
  2. Step 2: Convert to fraction form
    8,691.48/13,040 = 5,180.76/x
  3. Step 3: Cross multiply
    8,691.48x = 13,040 × 5,180.76
  4. Step 4: Simplify right side
    8,691.48x = 67,557,110.40
  5. Step 5: Solve for x
    x = 67,557,110.40/8,691.48
  6. Step 6: Final answer
    x = 7,772.80

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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.