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Finding the Fourth Proportional to 27,849.82, 41,774.03 and 8,128.54

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Solution

The fourth proportional to 27,849.82, 41,774.03 and 8,128.54 is: 12,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,849.82 : 41,774.03 = 8,128.54 : x
  2. Step 2: Convert to fraction form
    27,849.82/41,774.03 = 8,128.54/x
  3. Step 3: Cross multiply
    27,849.82x = 41,774.03 × 8,128.54
  4. Step 4: Simplify right side
    27,849.82x = 339,562,033.36
  5. Step 5: Solve for x
    x = 339,562,033.36/27,849.82
  6. Step 6: Final answer
    x = 12,192.61

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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.