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Finding the Fourth Proportional to 3,869.76, 5,805.62 and 1,791.26

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Solution

The fourth proportional to 3,869.76, 5,805.62 and 1,791.26 is: 2,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.76 : 5,805.62 = 1,791.26 : x
  2. Step 2: Convert to fraction form
    3,869.76/5,805.62 = 1,791.26/x
  3. Step 3: Cross multiply
    3,869.76x = 5,805.62 × 1,791.26
  4. Step 4: Simplify right side
    3,869.76x = 10,399,374.88
  5. Step 5: Solve for x
    x = 10,399,374.88/3,869.76
  6. Step 6: Final answer
    x = 2,687.34

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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.