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Finding the Fourth Proportional to 13,771, 19,008.90 and 8,182

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Solution

The fourth proportional to 13,771, 19,008.90 and 8,182 is: 11,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771 : 19,008.90 = 8,182 : x
  2. Step 2: Convert to fraction form
    13,771/19,008.90 = 8,182/x
  3. Step 3: Cross multiply
    13,771x = 19,008.90 × 8,182
  4. Step 4: Simplify right side
    13,771x = 155,530,819.80
  5. Step 5: Solve for x
    x = 155,530,819.80/13,771
  6. Step 6: Final answer
    x = 11,294.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.