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Finding the Fourth Proportional to 3,388.22, 5,078.62 and 1,744.86

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Solution

The fourth proportional to 3,388.22, 5,078.62 and 1,744.86 is: 2,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.22 : 5,078.62 = 1,744.86 : x
  2. Step 2: Convert to fraction form
    3,388.22/5,078.62 = 1,744.86/x
  3. Step 3: Cross multiply
    3,388.22x = 5,078.62 × 1,744.86
  4. Step 4: Simplify right side
    3,388.22x = 8,861,472.17
  5. Step 5: Solve for x
    x = 8,861,472.17/3,388.22
  6. Step 6: Final answer
    x = 2,615.38

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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.