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Finding the Fourth Proportional to 3,937.33, 5,431.62 and 2,447

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Solution

The fourth proportional to 3,937.33, 5,431.62 and 2,447 is: 3,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.33 : 5,431.62 = 2,447 : x
  2. Step 2: Convert to fraction form
    3,937.33/5,431.62 = 2,447/x
  3. Step 3: Cross multiply
    3,937.33x = 5,431.62 × 2,447
  4. Step 4: Simplify right side
    3,937.33x = 13,291,174.14
  5. Step 5: Solve for x
    x = 13,291,174.14/3,937.33
  6. Step 6: Final answer
    x = 3,375.68

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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.