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Finding the Fourth Proportional to 19,589, 29,380.03 and 8,912.88

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Solution

The fourth proportional to 19,589, 29,380.03 and 8,912.88 is: 13,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589 : 29,380.03 = 8,912.88 : x
  2. Step 2: Convert to fraction form
    19,589/29,380.03 = 8,912.88/x
  3. Step 3: Cross multiply
    19,589x = 29,380.03 × 8,912.88
  4. Step 4: Simplify right side
    19,589x = 261,860,681.79
  5. Step 5: Solve for x
    x = 261,860,681.79/19,589
  6. Step 6: Final answer
    x = 13,367.74

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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.