Home / 2,201.92-3,301.20-814.72

Finding the Fourth Proportional to 2,201.92, 3,301.20 and 814.72

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Solution

The fourth proportional to 2,201.92, 3,301.20 and 814.72 is: 1,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.92 : 3,301.20 = 814.72 : x
  2. Step 2: Convert to fraction form
    2,201.92/3,301.20 = 814.72/x
  3. Step 3: Cross multiply
    2,201.92x = 3,301.20 × 814.72
  4. Step 4: Simplify right side
    2,201.92x = 2,689,553.66
  5. Step 5: Solve for x
    x = 2,689,553.66/2,201.92
  6. Step 6: Final answer
    x = 1,221.46

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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.