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Finding the Fourth Proportional to 13,872.53, 20,821.16 and 6,481.16

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Solution

The fourth proportional to 13,872.53, 20,821.16 and 6,481.16 is: 9,727.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.53 : 20,821.16 = 6,481.16 : x
  2. Step 2: Convert to fraction form
    13,872.53/20,821.16 = 6,481.16/x
  3. Step 3: Cross multiply
    13,872.53x = 20,821.16 × 6,481.16
  4. Step 4: Simplify right side
    13,872.53x = 134,945,132.83
  5. Step 5: Solve for x
    x = 134,945,132.83/13,872.53
  6. Step 6: Final answer
    x = 9,727.51

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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.