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Finding the Fourth Proportional to 2,204, 3,306.12 and 665.12

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Solution

The fourth proportional to 2,204, 3,306.12 and 665.12 is: 997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204 : 3,306.12 = 665.12 : x
  2. Step 2: Convert to fraction form
    2,204/3,306.12 = 665.12/x
  3. Step 3: Cross multiply
    2,204x = 3,306.12 × 665.12
  4. Step 4: Simplify right side
    2,204x = 2,198,966.53
  5. Step 5: Solve for x
    x = 2,198,966.53/2,204
  6. Step 6: Final answer
    x = 997.72

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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.