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Finding the Fourth Proportional to 18,641.53, 27,975.96 and 13,724.43

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Solution

The fourth proportional to 18,641.53, 27,975.96 and 13,724.43 is: 20,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641.53 : 27,975.96 = 13,724.43 : x
  2. Step 2: Convert to fraction form
    18,641.53/27,975.96 = 13,724.43/x
  3. Step 3: Cross multiply
    18,641.53x = 27,975.96 × 13,724.43
  4. Step 4: Simplify right side
    18,641.53x = 383,954,104.70
  5. Step 5: Solve for x
    x = 383,954,104.70/18,641.53
  6. Step 6: Final answer
    x = 20,596.71

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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.