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Finding the Fourth Proportional to 20,200, 27,876.12 and 11,368

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Solution

The fourth proportional to 20,200, 27,876.12 and 11,368 is: 15,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200 : 27,876.12 = 11,368 : x
  2. Step 2: Convert to fraction form
    20,200/27,876.12 = 11,368/x
  3. Step 3: Cross multiply
    20,200x = 27,876.12 × 11,368
  4. Step 4: Simplify right side
    20,200x = 316,895,732.16
  5. Step 5: Solve for x
    x = 316,895,732.16/20,200
  6. Step 6: Final answer
    x = 15,687.91

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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.