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Finding the Fourth Proportional to 2,747.44, 3,791.68 and 1,568.88

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Solution

The fourth proportional to 2,747.44, 3,791.68 and 1,568.88 is: 2,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.44 : 3,791.68 = 1,568.88 : x
  2. Step 2: Convert to fraction form
    2,747.44/3,791.68 = 1,568.88/x
  3. Step 3: Cross multiply
    2,747.44x = 3,791.68 × 1,568.88
  4. Step 4: Simplify right side
    2,747.44x = 5,948,690.92
  5. Step 5: Solve for x
    x = 5,948,690.92/2,747.44
  6. Step 6: Final answer
    x = 2,165.18

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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.