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Finding the Fourth Proportional to 3,917.52, 5,406.12 and 2,149.11

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Solution

The fourth proportional to 3,917.52, 5,406.12 and 2,149.11 is: 2,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.52 : 5,406.12 = 2,149.11 : x
  2. Step 2: Convert to fraction form
    3,917.52/5,406.12 = 2,149.11/x
  3. Step 3: Cross multiply
    3,917.52x = 5,406.12 × 2,149.11
  4. Step 4: Simplify right side
    3,917.52x = 11,618,346.55
  5. Step 5: Solve for x
    x = 11,618,346.55/3,917.52
  6. Step 6: Final answer
    x = 2,965.74

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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.