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Finding the Fourth Proportional to 2,204.65, 3,306.89 and 817.43

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Solution

The fourth proportional to 2,204.65, 3,306.89 and 817.43 is: 1,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.65 : 3,306.89 = 817.43 : x
  2. Step 2: Convert to fraction form
    2,204.65/3,306.89 = 817.43/x
  3. Step 3: Cross multiply
    2,204.65x = 3,306.89 × 817.43
  4. Step 4: Simplify right side
    2,204.65x = 2,703,151.09
  5. Step 5: Solve for x
    x = 2,703,151.09/2,204.65
  6. Step 6: Final answer
    x = 1,226.11

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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.