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Finding the Fourth Proportional to 20,171, 27,835.98 and 11,339

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Solution

The fourth proportional to 20,171, 27,835.98 and 11,339 is: 15,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171 : 27,835.98 = 11,339 : x
  2. Step 2: Convert to fraction form
    20,171/27,835.98 = 11,339/x
  3. Step 3: Cross multiply
    20,171x = 27,835.98 × 11,339
  4. Step 4: Simplify right side
    20,171x = 315,632,177.22
  5. Step 5: Solve for x
    x = 315,632,177.22/20,171
  6. Step 6: Final answer
    x = 15,647.82

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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.