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Finding the Fourth Proportional to 20,181, 27,849.81 and 11,349

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Solution

The fourth proportional to 20,181, 27,849.81 and 11,349 is: 15,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181 : 27,849.81 = 11,349 : x
  2. Step 2: Convert to fraction form
    20,181/27,849.81 = 11,349/x
  3. Step 3: Cross multiply
    20,181x = 27,849.81 × 11,349
  4. Step 4: Simplify right side
    20,181x = 316,067,493.69
  5. Step 5: Solve for x
    x = 316,067,493.69/20,181
  6. Step 6: Final answer
    x = 15,661.64

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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.