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Finding the Fourth Proportional to 3,468.27, 5,202.42 and 871.21

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Solution

The fourth proportional to 3,468.27, 5,202.42 and 871.21 is: 1,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.27 : 5,202.42 = 871.21 : x
  2. Step 2: Convert to fraction form
    3,468.27/5,202.42 = 871.21/x
  3. Step 3: Cross multiply
    3,468.27x = 5,202.42 × 871.21
  4. Step 4: Simplify right side
    3,468.27x = 4,532,403.56
  5. Step 5: Solve for x
    x = 4,532,403.56/3,468.27
  6. Step 6: Final answer
    x = 1,306.82

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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.