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Finding the Fourth Proportional to 20,196.38, 27,873.16 and 11,819.90

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Solution

The fourth proportional to 20,196.38, 27,873.16 and 11,819.90 is: 16,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.38 : 27,873.16 = 11,819.90 : x
  2. Step 2: Convert to fraction form
    20,196.38/27,873.16 = 11,819.90/x
  3. Step 3: Cross multiply
    20,196.38x = 27,873.16 × 11,819.90
  4. Step 4: Simplify right side
    20,196.38x = 329,457,794.97
  5. Step 5: Solve for x
    x = 329,457,794.97/20,196.38
  6. Step 6: Final answer
    x = 16,312.72

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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.