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Finding the Fourth Proportional to 27,409, 41,120 and 8,941

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Solution

The fourth proportional to 27,409, 41,120 and 8,941 is: 13,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409 : 41,120 = 8,941 : x
  2. Step 2: Convert to fraction form
    27,409/41,120 = 8,941/x
  3. Step 3: Cross multiply
    27,409x = 41,120 × 8,941
  4. Step 4: Simplify right side
    27,409x = 367,653,920
  5. Step 5: Solve for x
    x = 367,653,920/27,409
  6. Step 6: Final answer
    x = 13,413.62

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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.