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Finding the Fourth Proportional to 13,853.80, 20,757.90 and 8,000.20

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Solution

The fourth proportional to 13,853.80, 20,757.90 and 8,000.20 is: 11,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.80 : 20,757.90 = 8,000.20 : x
  2. Step 2: Convert to fraction form
    13,853.80/20,757.90 = 8,000.20/x
  3. Step 3: Cross multiply
    13,853.80x = 20,757.90 × 8,000.20
  4. Step 4: Simplify right side
    13,853.80x = 166,067,351.58
  5. Step 5: Solve for x
    x = 166,067,351.58/13,853.80
  6. Step 6: Final answer
    x = 11,987.13

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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.