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Finding the Fourth Proportional to 13,504.50, 20,243.07 and 6,474.18

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Solution

The fourth proportional to 13,504.50, 20,243.07 and 6,474.18 is: 9,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.50 : 20,243.07 = 6,474.18 : x
  2. Step 2: Convert to fraction form
    13,504.50/20,243.07 = 6,474.18/x
  3. Step 3: Cross multiply
    13,504.50x = 20,243.07 × 6,474.18
  4. Step 4: Simplify right side
    13,504.50x = 131,057,278.93
  5. Step 5: Solve for x
    x = 131,057,278.93/13,504.50
  6. Step 6: Final answer
    x = 9,704.71

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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.