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Finding the Fourth Proportional to 3,391.86, 5,087.86 and 2,229.28

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Solution

The fourth proportional to 3,391.86, 5,087.86 and 2,229.28 is: 3,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.86 : 5,087.86 = 2,229.28 : x
  2. Step 2: Convert to fraction form
    3,391.86/5,087.86 = 2,229.28/x
  3. Step 3: Cross multiply
    3,391.86x = 5,087.86 × 2,229.28
  4. Step 4: Simplify right side
    3,391.86x = 11,342,239.10
  5. Step 5: Solve for x
    x = 11,342,239.10/3,391.86
  6. Step 6: Final answer
    x = 3,343.96

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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.