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Finding the Fourth Proportional to 3,874.46, 5,810.46 and 2,231.78

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Solution

The fourth proportional to 3,874.46, 5,810.46 and 2,231.78 is: 3,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.46 : 5,810.46 = 2,231.78 : x
  2. Step 2: Convert to fraction form
    3,874.46/5,810.46 = 2,231.78/x
  3. Step 3: Cross multiply
    3,874.46x = 5,810.46 × 2,231.78
  4. Step 4: Simplify right side
    3,874.46x = 12,967,668.42
  5. Step 5: Solve for x
    x = 12,967,668.42/3,874.46
  6. Step 6: Final answer
    x = 3,346.96

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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.