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Finding the Fourth Proportional to 3,874.49, 5,809.27 and 1,791.71

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Solution

The fourth proportional to 3,874.49, 5,809.27 and 1,791.71 is: 2,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.49 : 5,809.27 = 1,791.71 : x
  2. Step 2: Convert to fraction form
    3,874.49/5,809.27 = 1,791.71/x
  3. Step 3: Cross multiply
    3,874.49x = 5,809.27 × 1,791.71
  4. Step 4: Simplify right side
    3,874.49x = 10,408,527.15
  5. Step 5: Solve for x
    x = 10,408,527.15/3,874.49
  6. Step 6: Final answer
    x = 2,686.43

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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.