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Finding the Fourth Proportional to 27,608.31, 41,413.86 and 7,889.81

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Solution

The fourth proportional to 27,608.31, 41,413.86 and 7,889.81 is: 11,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608.31 : 41,413.86 = 7,889.81 : x
  2. Step 2: Convert to fraction form
    27,608.31/41,413.86 = 7,889.81/x
  3. Step 3: Cross multiply
    27,608.31x = 41,413.86 × 7,889.81
  4. Step 4: Simplify right side
    27,608.31x = 326,747,279.70
  5. Step 5: Solve for x
    x = 326,747,279.70/27,608.31
  6. Step 6: Final answer
    x = 11,835.11

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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.