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Finding the Fourth Proportional to 5,691.72, 7,854.62 and 3,174.00

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Solution

The fourth proportional to 5,691.72, 7,854.62 and 3,174.00 is: 4,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.72 : 7,854.62 = 3,174.00 : x
  2. Step 2: Convert to fraction form
    5,691.72/7,854.62 = 3,174.00/x
  3. Step 3: Cross multiply
    5,691.72x = 7,854.62 × 3,174.00
  4. Step 4: Simplify right side
    5,691.72x = 24,930,550.86
  5. Step 5: Solve for x
    x = 24,930,550.86/5,691.72
  6. Step 6: Final answer
    x = 4,380.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.