Home / 2,204.52-3,307.11-819.82

Finding the Fourth Proportional to 2,204.52, 3,307.11 and 819.82

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Solution

The fourth proportional to 2,204.52, 3,307.11 and 819.82 is: 1,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.52 : 3,307.11 = 819.82 : x
  2. Step 2: Convert to fraction form
    2,204.52/3,307.11 = 819.82/x
  3. Step 3: Cross multiply
    2,204.52x = 3,307.11 × 819.82
  4. Step 4: Simplify right side
    2,204.52x = 2,711,234.92
  5. Step 5: Solve for x
    x = 2,711,234.92/2,204.52
  6. Step 6: Final answer
    x = 1,229.85

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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.