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Finding the Fourth Proportional to 3,154.85, 4,732.24 and 814.65

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Solution

The fourth proportional to 3,154.85, 4,732.24 and 814.65 is: 1,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.85 : 4,732.24 = 814.65 : x
  2. Step 2: Convert to fraction form
    3,154.85/4,732.24 = 814.65/x
  3. Step 3: Cross multiply
    3,154.85x = 4,732.24 × 814.65
  4. Step 4: Simplify right side
    3,154.85x = 3,855,119.32
  5. Step 5: Solve for x
    x = 3,855,119.32/3,154.85
  6. Step 6: Final answer
    x = 1,221.97

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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.