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Finding the Fourth Proportional to 2,791.25, 3,851.94 and 1,743.92

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Solution

The fourth proportional to 2,791.25, 3,851.94 and 1,743.92 is: 2,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.25 : 3,851.94 = 1,743.92 : x
  2. Step 2: Convert to fraction form
    2,791.25/3,851.94 = 1,743.92/x
  3. Step 3: Cross multiply
    2,791.25x = 3,851.94 × 1,743.92
  4. Step 4: Simplify right side
    2,791.25x = 6,717,475.20
  5. Step 5: Solve for x
    x = 6,717,475.20/2,791.25
  6. Step 6: Final answer
    x = 2,406.62

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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.