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Finding the Fourth Proportional to 27,911.70, 41,871.42 and 8,187.48

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Solution

The fourth proportional to 27,911.70, 41,871.42 and 8,187.48 is: 12,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.70 : 41,871.42 = 8,187.48 : x
  2. Step 2: Convert to fraction form
    27,911.70/41,871.42 = 8,187.48/x
  3. Step 3: Cross multiply
    27,911.70x = 41,871.42 × 8,187.48
  4. Step 4: Simplify right side
    27,911.70x = 342,821,413.82
  5. Step 5: Solve for x
    x = 342,821,413.82/27,911.70
  6. Step 6: Final answer
    x = 12,282.36

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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.