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Finding the Fourth Proportional to 3,862.96, 5,332.16 and 2,449

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Solution

The fourth proportional to 3,862.96, 5,332.16 and 2,449 is: 3,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.96 : 5,332.16 = 2,449 : x
  2. Step 2: Convert to fraction form
    3,862.96/5,332.16 = 2,449/x
  3. Step 3: Cross multiply
    3,862.96x = 5,332.16 × 2,449
  4. Step 4: Simplify right side
    3,862.96x = 13,058,459.84
  5. Step 5: Solve for x
    x = 13,058,459.84/3,862.96
  6. Step 6: Final answer
    x = 3,380.43

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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.