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Finding the Fourth Proportional to 3,481.92, 5,219.28 and 1,401.92

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Solution

The fourth proportional to 3,481.92, 5,219.28 and 1,401.92 is: 2,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.92 : 5,219.28 = 1,401.92 : x
  2. Step 2: Convert to fraction form
    3,481.92/5,219.28 = 1,401.92/x
  3. Step 3: Cross multiply
    3,481.92x = 5,219.28 × 1,401.92
  4. Step 4: Simplify right side
    3,481.92x = 7,317,013.02
  5. Step 5: Solve for x
    x = 7,317,013.02/3,481.92
  6. Step 6: Final answer
    x = 2,101.43

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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.