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Finding the Fourth Proportional to 27,442.38, 41,163.69 and 7,721.22

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Solution

The fourth proportional to 27,442.38, 41,163.69 and 7,721.22 is: 11,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.38 : 41,163.69 = 7,721.22 : x
  2. Step 2: Convert to fraction form
    27,442.38/41,163.69 = 7,721.22/x
  3. Step 3: Cross multiply
    27,442.38x = 41,163.69 × 7,721.22
  4. Step 4: Simplify right side
    27,442.38x = 317,833,906.50
  5. Step 5: Solve for x
    x = 317,833,906.50/27,442.38
  6. Step 6: Final answer
    x = 11,581.86

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1.5x scale

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.