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Finding the Fourth Proportional to 5,589, 8,387.34 and 1,941

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Solution

The fourth proportional to 5,589, 8,387.34 and 1,941 is: 2,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589 : 8,387.34 = 1,941 : x
  2. Step 2: Convert to fraction form
    5,589/8,387.34 = 1,941/x
  3. Step 3: Cross multiply
    5,589x = 8,387.34 × 1,941
  4. Step 4: Simplify right side
    5,589x = 16,279,826.94
  5. Step 5: Solve for x
    x = 16,279,826.94/5,589
  6. Step 6: Final answer
    x = 2,912.83

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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.