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Finding the Fourth Proportional to 20,067.78, 30,101.96 and 9,538.88

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Solution

The fourth proportional to 20,067.78, 30,101.96 and 9,538.88 is: 14,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.78 : 30,101.96 = 9,538.88 : x
  2. Step 2: Convert to fraction form
    20,067.78/30,101.96 = 9,538.88/x
  3. Step 3: Cross multiply
    20,067.78x = 30,101.96 × 9,538.88
  4. Step 4: Simplify right side
    20,067.78x = 287,138,880.80
  5. Step 5: Solve for x
    x = 287,138,880.80/20,067.78
  6. Step 6: Final answer
    x = 14,308.46

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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.