Home / 2,200.14-3,301.88-814.78

Finding the Fourth Proportional to 2,200.14, 3,301.88 and 814.78

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Solution

The fourth proportional to 2,200.14, 3,301.88 and 814.78 is: 1,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.14 : 3,301.88 = 814.78 : x
  2. Step 2: Convert to fraction form
    2,200.14/3,301.88 = 814.78/x
  3. Step 3: Cross multiply
    2,200.14x = 3,301.88 × 814.78
  4. Step 4: Simplify right side
    2,200.14x = 2,690,305.79
  5. Step 5: Solve for x
    x = 2,690,305.79/2,200.14
  6. Step 6: Final answer
    x = 1,222.79

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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.