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Finding the Fourth Proportional to 13,704.78, 20,542.20 and 7,031.94

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Solution

The fourth proportional to 13,704.78, 20,542.20 and 7,031.94 is: 10,540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.78 : 20,542.20 = 7,031.94 : x
  2. Step 2: Convert to fraction form
    13,704.78/20,542.20 = 7,031.94/x
  3. Step 3: Cross multiply
    13,704.78x = 20,542.20 × 7,031.94
  4. Step 4: Simplify right side
    13,704.78x = 144,451,517.87
  5. Step 5: Solve for x
    x = 144,451,517.87/13,704.78
  6. Step 6: Final answer
    x = 10,540.23

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1.5x scale

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.