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Finding the Fourth Proportional to 3,940.97, 5,919.65 and 3,325.86

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Solution

The fourth proportional to 3,940.97, 5,919.65 and 3,325.86 is: 4,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.97 : 5,919.65 = 3,325.86 : x
  2. Step 2: Convert to fraction form
    3,940.97/5,919.65 = 3,325.86/x
  3. Step 3: Cross multiply
    3,940.97x = 5,919.65 × 3,325.86
  4. Step 4: Simplify right side
    3,940.97x = 19,687,910.52
  5. Step 5: Solve for x
    x = 19,687,910.52/3,940.97
  6. Step 6: Final answer
    x = 4,995.71

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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.