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Finding the Fourth Proportional to 5,589, 7,713 and 3,105

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Solution

The fourth proportional to 5,589, 7,713 and 3,105 is: 4,285

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589 : 7,713 = 3,105 : x
  2. Step 2: Convert to fraction form
    5,589/7,713 = 3,105/x
  3. Step 3: Cross multiply
    5,589x = 7,713 × 3,105
  4. Step 4: Simplify right side
    5,589x = 23,948,865
  5. Step 5: Solve for x
    x = 23,948,865/5,589
  6. Step 6: Final answer
    x = 4,285

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.