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Finding the Fourth Proportional to 3,860.91, 5,791.37 and 939.20

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Solution

The fourth proportional to 3,860.91, 5,791.37 and 939.20 is: 1,408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.91 : 5,791.37 = 939.20 : x
  2. Step 2: Convert to fraction form
    3,860.91/5,791.37 = 939.20/x
  3. Step 3: Cross multiply
    3,860.91x = 5,791.37 × 939.20
  4. Step 4: Simplify right side
    3,860.91x = 5,439,221.05
  5. Step 5: Solve for x
    x = 5,439,221.05/3,860.91
  6. Step 6: Final answer
    x = 1,408.79

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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.