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Finding the Fourth Proportional to 27,771.38, 38,324.50 and 15,196.13

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Solution

The fourth proportional to 27,771.38, 38,324.50 and 15,196.13 is: 20,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.38 : 38,324.50 = 15,196.13 : x
  2. Step 2: Convert to fraction form
    27,771.38/38,324.50 = 15,196.13/x
  3. Step 3: Cross multiply
    27,771.38x = 38,324.50 × 15,196.13
  4. Step 4: Simplify right side
    27,771.38x = 582,383,854.57
  5. Step 5: Solve for x
    x = 582,383,854.57/27,771.38
  6. Step 6: Final answer
    x = 20,970.65

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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.