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Finding the Fourth Proportional to 3,906.78, 5,391.36 and 2,138.42

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Solution

The fourth proportional to 3,906.78, 5,391.36 and 2,138.42 is: 2,951.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.78 : 5,391.36 = 2,138.42 : x
  2. Step 2: Convert to fraction form
    3,906.78/5,391.36 = 2,138.42/x
  3. Step 3: Cross multiply
    3,906.78x = 5,391.36 × 2,138.42
  4. Step 4: Simplify right side
    3,906.78x = 11,528,965.09
  5. Step 5: Solve for x
    x = 11,528,965.09/3,906.78
  6. Step 6: Final answer
    x = 2,951.01

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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.