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Finding the Fourth Proportional to 20,098.62, 30,150.81 and 6,947.91

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Solution

The fourth proportional to 20,098.62, 30,150.81 and 6,947.91 is: 10,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.62 : 30,150.81 = 6,947.91 : x
  2. Step 2: Convert to fraction form
    20,098.62/30,150.81 = 6,947.91/x
  3. Step 3: Cross multiply
    20,098.62x = 30,150.81 × 6,947.91
  4. Step 4: Simplify right side
    20,098.62x = 209,485,114.31
  5. Step 5: Solve for x
    x = 209,485,114.31/20,098.62
  6. Step 6: Final answer
    x = 10,422.86

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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.