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Finding the Fourth Proportional to 13,381.20, 20,073.42 and 5,589

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Solution

The fourth proportional to 13,381.20, 20,073.42 and 5,589 is: 8,384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.20 : 20,073.42 = 5,589 : x
  2. Step 2: Convert to fraction form
    13,381.20/20,073.42 = 5,589/x
  3. Step 3: Cross multiply
    13,381.20x = 20,073.42 × 5,589
  4. Step 4: Simplify right side
    13,381.20x = 112,190,344.38
  5. Step 5: Solve for x
    x = 112,190,344.38/13,381.20
  6. Step 6: Final answer
    x = 8,384.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.