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Finding the Fourth Proportional to 3,891.75, 5,837.31 and 1,551.66

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Solution

The fourth proportional to 3,891.75, 5,837.31 and 1,551.66 is: 2,327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.75 : 5,837.31 = 1,551.66 : x
  2. Step 2: Convert to fraction form
    3,891.75/5,837.31 = 1,551.66/x
  3. Step 3: Cross multiply
    3,891.75x = 5,837.31 × 1,551.66
  4. Step 4: Simplify right side
    3,891.75x = 9,057,520.43
  5. Step 5: Solve for x
    x = 9,057,520.43/3,891.75
  6. Step 6: Final answer
    x = 2,327.36

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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.