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Finding the Fourth Proportional to 19,704.53, 29,540.15 and 9,169.11

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Solution

The fourth proportional to 19,704.53, 29,540.15 and 9,169.11 is: 13,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.53 : 29,540.15 = 9,169.11 : x
  2. Step 2: Convert to fraction form
    19,704.53/29,540.15 = 9,169.11/x
  3. Step 3: Cross multiply
    19,704.53x = 29,540.15 × 9,169.11
  4. Step 4: Simplify right side
    19,704.53x = 270,856,838.92
  5. Step 5: Solve for x
    x = 270,856,838.92/19,704.53
  6. Step 6: Final answer
    x = 13,745.92

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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.