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Finding the Fourth Proportional to 8,239.70, 12,361.13 and 2,691.55

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Solution

The fourth proportional to 8,239.70, 12,361.13 and 2,691.55 is: 4,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.70 : 12,361.13 = 2,691.55 : x
  2. Step 2: Convert to fraction form
    8,239.70/12,361.13 = 2,691.55/x
  3. Step 3: Cross multiply
    8,239.70x = 12,361.13 × 2,691.55
  4. Step 4: Simplify right side
    8,239.70x = 33,270,575.28
  5. Step 5: Solve for x
    x = 33,270,575.28/8,239.70
  6. Step 6: Final answer
    x = 4,037.84

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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.