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Finding the Fourth Proportional to 3,969, 5,472.36 and 3,081.24

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Solution

The fourth proportional to 3,969, 5,472.36 and 3,081.24 is: 4,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969 : 5,472.36 = 3,081.24 : x
  2. Step 2: Convert to fraction form
    3,969/5,472.36 = 3,081.24/x
  3. Step 3: Cross multiply
    3,969x = 5,472.36 × 3,081.24
  4. Step 4: Simplify right side
    3,969x = 16,861,654.53
  5. Step 5: Solve for x
    x = 16,861,654.53/3,969
  6. Step 6: Final answer
    x = 4,248.34

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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.