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Finding the Fourth Proportional to 5,589, 8,375.70 and 4,200.71

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Solution

The fourth proportional to 5,589, 8,375.70 and 4,200.71 is: 6,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589 : 8,375.70 = 4,200.71 : x
  2. Step 2: Convert to fraction form
    5,589/8,375.70 = 4,200.71/x
  3. Step 3: Cross multiply
    5,589x = 8,375.70 × 4,200.71
  4. Step 4: Simplify right side
    5,589x = 35,183,844.87
  5. Step 5: Solve for x
    x = 35,183,844.87/5,589
  6. Step 6: Final answer
    x = 6,295.20

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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.