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Finding the Fourth Proportional to 20,067.16, 30,102.42 and 6,914.20

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Solution

The fourth proportional to 20,067.16, 30,102.42 and 6,914.20 is: 10,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.16 : 30,102.42 = 6,914.20 : x
  2. Step 2: Convert to fraction form
    20,067.16/30,102.42 = 6,914.20/x
  3. Step 3: Cross multiply
    20,067.16x = 30,102.42 × 6,914.20
  4. Step 4: Simplify right side
    20,067.16x = 208,134,152.36
  5. Step 5: Solve for x
    x = 208,134,152.36/20,067.16
  6. Step 6: Final answer
    x = 10,371.88

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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.