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Finding the Fourth Proportional to 20,195, 30,292.78 and 6,344

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Solution

The fourth proportional to 20,195, 30,292.78 and 6,344 is: 9,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195 : 30,292.78 = 6,344 : x
  2. Step 2: Convert to fraction form
    20,195/30,292.78 = 6,344/x
  3. Step 3: Cross multiply
    20,195x = 30,292.78 × 6,344
  4. Step 4: Simplify right side
    20,195x = 192,177,396.32
  5. Step 5: Solve for x
    x = 192,177,396.32/20,195
  6. Step 6: Final answer
    x = 9,516.09

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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.