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Finding the Fourth Proportional to 3,947.82, 5,921.73 and 1,608.81

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Solution

The fourth proportional to 3,947.82, 5,921.73 and 1,608.81 is: 2,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.82 : 5,921.73 = 1,608.81 : x
  2. Step 2: Convert to fraction form
    3,947.82/5,921.73 = 1,608.81/x
  3. Step 3: Cross multiply
    3,947.82x = 5,921.73 × 1,608.81
  4. Step 4: Simplify right side
    3,947.82x = 9,526,938.44
  5. Step 5: Solve for x
    x = 9,526,938.44/3,947.82
  6. Step 6: Final answer
    x = 2,413.22

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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.