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Finding the Fourth Proportional to 3,906.66, 5,391.16 and 2,138.26

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Solution

The fourth proportional to 3,906.66, 5,391.16 and 2,138.26 is: 2,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.66 : 5,391.16 = 2,138.26 : x
  2. Step 2: Convert to fraction form
    3,906.66/5,391.16 = 2,138.26/x
  3. Step 3: Cross multiply
    3,906.66x = 5,391.16 × 2,138.26
  4. Step 4: Simplify right side
    3,906.66x = 11,527,691.09
  5. Step 5: Solve for x
    x = 11,527,691.09/3,906.66
  6. Step 6: Final answer
    x = 2,950.78

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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.