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Finding the Fourth Proportional to 27,691, 41,553.78 and 11,275

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Solution

The fourth proportional to 27,691, 41,553.78 and 11,275 is: 16,919.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691 : 41,553.78 = 11,275 : x
  2. Step 2: Convert to fraction form
    27,691/41,553.78 = 11,275/x
  3. Step 3: Cross multiply
    27,691x = 41,553.78 × 11,275
  4. Step 4: Simplify right side
    27,691x = 468,518,869.50
  5. Step 5: Solve for x
    x = 468,518,869.50/27,691
  6. Step 6: Final answer
    x = 16,919.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.