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Finding the Fourth Proportional to 3,999.42, 6,002.97 and 3,747.90

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Solution

The fourth proportional to 3,999.42, 6,002.97 and 3,747.90 is: 5,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.42 : 6,002.97 = 3,747.90 : x
  2. Step 2: Convert to fraction form
    3,999.42/6,002.97 = 3,747.90/x
  3. Step 3: Cross multiply
    3,999.42x = 6,002.97 × 3,747.90
  4. Step 4: Simplify right side
    3,999.42x = 22,498,531.26
  5. Step 5: Solve for x
    x = 22,498,531.26/3,999.42
  6. Step 6: Final answer
    x = 5,625.45

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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.