Home / 2,202.38-3,301.23-814.82

Finding the Fourth Proportional to 2,202.38, 3,301.23 and 814.82

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Solution

The fourth proportional to 2,202.38, 3,301.23 and 814.82 is: 1,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.38 : 3,301.23 = 814.82 : x
  2. Step 2: Convert to fraction form
    2,202.38/3,301.23 = 814.82/x
  3. Step 3: Cross multiply
    2,202.38x = 3,301.23 × 814.82
  4. Step 4: Simplify right side
    2,202.38x = 2,689,908.23
  5. Step 5: Solve for x
    x = 2,689,908.23/2,202.38
  6. Step 6: Final answer
    x = 1,221.36

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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.