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Finding the Fourth Proportional to 2,862.81, 3,951.03 and 1,743.91

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Solution

The fourth proportional to 2,862.81, 3,951.03 and 1,743.91 is: 2,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.81 : 3,951.03 = 1,743.91 : x
  2. Step 2: Convert to fraction form
    2,862.81/3,951.03 = 1,743.91/x
  3. Step 3: Cross multiply
    2,862.81x = 3,951.03 × 1,743.91
  4. Step 4: Simplify right side
    2,862.81x = 6,890,249.80
  5. Step 5: Solve for x
    x = 6,890,249.80/2,862.81
  6. Step 6: Final answer
    x = 2,406.81

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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.