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Finding the Fourth Proportional to 3,874.53, 5,343.71 and 2,379.78

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Solution

The fourth proportional to 3,874.53, 5,343.71 and 2,379.78 is: 3,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.53 : 5,343.71 = 2,379.78 : x
  2. Step 2: Convert to fraction form
    3,874.53/5,343.71 = 2,379.78/x
  3. Step 3: Cross multiply
    3,874.53x = 5,343.71 × 2,379.78
  4. Step 4: Simplify right side
    3,874.53x = 12,716,842.28
  5. Step 5: Solve for x
    x = 12,716,842.28/3,874.53
  6. Step 6: Final answer
    x = 3,282.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.