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Finding the Fourth Proportional to 11,902, 17,849.34 and 8,227.84

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Solution

The fourth proportional to 11,902, 17,849.34 and 8,227.84 is: 12,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902 : 17,849.34 = 8,227.84 : x
  2. Step 2: Convert to fraction form
    11,902/17,849.34 = 8,227.84/x
  3. Step 3: Cross multiply
    11,902x = 17,849.34 × 8,227.84
  4. Step 4: Simplify right side
    11,902x = 146,861,513.63
  5. Step 5: Solve for x
    x = 146,861,513.63/11,902
  6. Step 6: Final answer
    x = 12,339.23

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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.