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Finding the Fourth Proportional to 3,939.72, 5,902.20 and 3,534

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Solution

The fourth proportional to 3,939.72, 5,902.20 and 3,534 is: 5,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.72 : 5,902.20 = 3,534 : x
  2. Step 2: Convert to fraction form
    3,939.72/5,902.20 = 3,534/x
  3. Step 3: Cross multiply
    3,939.72x = 5,902.20 × 3,534
  4. Step 4: Simplify right side
    3,939.72x = 20,858,374.80
  5. Step 5: Solve for x
    x = 20,858,374.80/3,939.72
  6. Step 6: Final answer
    x = 5,294.38

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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.