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Finding the Fourth Proportional to 3,940.78, 5,432.54 and 2,819.79

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Solution

The fourth proportional to 3,940.78, 5,432.54 and 2,819.79 is: 3,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.78 : 5,432.54 = 2,819.79 : x
  2. Step 2: Convert to fraction form
    3,940.78/5,432.54 = 2,819.79/x
  3. Step 3: Cross multiply
    3,940.78x = 5,432.54 × 2,819.79
  4. Step 4: Simplify right side
    3,940.78x = 15,318,616.38
  5. Step 5: Solve for x
    x = 15,318,616.38/3,940.78
  6. Step 6: Final answer
    x = 3,887.21

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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.