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Finding the Fourth Proportional to 3,791.32, 5,687.78 and 1,844.62

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Solution

The fourth proportional to 3,791.32, 5,687.78 and 1,844.62 is: 2,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.32 : 5,687.78 = 1,844.62 : x
  2. Step 2: Convert to fraction form
    3,791.32/5,687.78 = 1,844.62/x
  3. Step 3: Cross multiply
    3,791.32x = 5,687.78 × 1,844.62
  4. Step 4: Simplify right side
    3,791.32x = 10,491,792.74
  5. Step 5: Solve for x
    x = 10,491,792.74/3,791.32
  6. Step 6: Final answer
    x = 2,767.32

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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.