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Finding the Fourth Proportional to 20,192, 30,288.28 and 6,341

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Solution

The fourth proportional to 20,192, 30,288.28 and 6,341 is: 9,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192 : 30,288.28 = 6,341 : x
  2. Step 2: Convert to fraction form
    20,192/30,288.28 = 6,341/x
  3. Step 3: Cross multiply
    20,192x = 30,288.28 × 6,341
  4. Step 4: Simplify right side
    20,192x = 192,057,983.48
  5. Step 5: Solve for x
    x = 192,057,983.48/20,192
  6. Step 6: Final answer
    x = 9,511.59

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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.