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Finding the Fourth Proportional to 8,691.42, 13,023.72 and 5,869.20

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Solution

The fourth proportional to 8,691.42, 13,023.72 and 5,869.20 is: 8,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.42 : 13,023.72 = 5,869.20 : x
  2. Step 2: Convert to fraction form
    8,691.42/13,023.72 = 5,869.20/x
  3. Step 3: Cross multiply
    8,691.42x = 13,023.72 × 5,869.20
  4. Step 4: Simplify right side
    8,691.42x = 76,438,817.42
  5. Step 5: Solve for x
    x = 76,438,817.42/8,691.42
  6. Step 6: Final answer
    x = 8,794.74

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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.