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Finding the Fourth Proportional to 3,881.17, 5,824.58 and 2,909.89

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Solution

The fourth proportional to 3,881.17, 5,824.58 and 2,909.89 is: 4,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.17 : 5,824.58 = 2,909.89 : x
  2. Step 2: Convert to fraction form
    3,881.17/5,824.58 = 2,909.89/x
  3. Step 3: Cross multiply
    3,881.17x = 5,824.58 × 2,909.89
  4. Step 4: Simplify right side
    3,881.17x = 16,948,887.10
  5. Step 5: Solve for x
    x = 16,948,887.10/3,881.17
  6. Step 6: Final answer
    x = 4,366.95

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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.