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Finding the Fourth Proportional to 10,589, 15,862.84 and 5,656.92

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Solution

The fourth proportional to 10,589, 15,862.84 and 5,656.92 is: 8,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589 : 15,862.84 = 5,656.92 : x
  2. Step 2: Convert to fraction form
    10,589/15,862.84 = 5,656.92/x
  3. Step 3: Cross multiply
    10,589x = 15,862.84 × 5,656.92
  4. Step 4: Simplify right side
    10,589x = 89,734,816.85
  5. Step 5: Solve for x
    x = 89,734,816.85/10,589
  6. Step 6: Final answer
    x = 8,474.34

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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.