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Finding the Fourth Proportional to 13,589.89, 20,375.11 and 5,794.45

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Solution

The fourth proportional to 13,589.89, 20,375.11 and 5,794.45 is: 8,687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.89 : 20,375.11 = 5,794.45 : x
  2. Step 2: Convert to fraction form
    13,589.89/20,375.11 = 5,794.45/x
  3. Step 3: Cross multiply
    13,589.89x = 20,375.11 × 5,794.45
  4. Step 4: Simplify right side
    13,589.89x = 118,062,556.14
  5. Step 5: Solve for x
    x = 118,062,556.14/13,589.89
  6. Step 6: Final answer
    x = 8,687.53

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1.5x scale

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.