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Finding the Fourth Proportional to 2,753.96, 3,805.92 and 2,255.81

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Solution

The fourth proportional to 2,753.96, 3,805.92 and 2,255.81 is: 3,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.96 : 3,805.92 = 2,255.81 : x
  2. Step 2: Convert to fraction form
    2,753.96/3,805.92 = 2,255.81/x
  3. Step 3: Cross multiply
    2,753.96x = 3,805.92 × 2,255.81
  4. Step 4: Simplify right side
    2,753.96x = 8,585,413.37
  5. Step 5: Solve for x
    x = 8,585,413.37/2,753.96
  6. Step 6: Final answer
    x = 3,117.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.