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Finding the Fourth Proportional to 20,640.42, 30,959.42 and 6,789.42

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Solution

The fourth proportional to 20,640.42, 30,959.42 and 6,789.42 is: 10,183.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.42 : 30,959.42 = 6,789.42 : x
  2. Step 2: Convert to fraction form
    20,640.42/30,959.42 = 6,789.42/x
  3. Step 3: Cross multiply
    20,640.42x = 30,959.42 × 6,789.42
  4. Step 4: Simplify right side
    20,640.42x = 210,196,471.39
  5. Step 5: Solve for x
    x = 210,196,471.39/20,640.42
  6. Step 6: Final answer
    x = 10,183.73

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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.