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Finding the Fourth Proportional to 7,192, 10,788 and 1,997.92

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Solution

The fourth proportional to 7,192, 10,788 and 1,997.92 is: 2,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192 : 10,788 = 1,997.92 : x
  2. Step 2: Convert to fraction form
    7,192/10,788 = 1,997.92/x
  3. Step 3: Cross multiply
    7,192x = 10,788 × 1,997.92
  4. Step 4: Simplify right side
    7,192x = 21,553,560.96
  5. Step 5: Solve for x
    x = 21,553,560.96/7,192
  6. Step 6: Final answer
    x = 2,996.88

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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.