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Finding the Fourth Proportional to 7,540.96, 11,311.08 and 2,275.78

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Solution

The fourth proportional to 7,540.96, 11,311.08 and 2,275.78 is: 3,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.96 : 11,311.08 = 2,275.78 : x
  2. Step 2: Convert to fraction form
    7,540.96/11,311.08 = 2,275.78/x
  3. Step 3: Cross multiply
    7,540.96x = 11,311.08 × 2,275.78
  4. Step 4: Simplify right side
    7,540.96x = 25,741,529.64
  5. Step 5: Solve for x
    x = 25,741,529.64/7,540.96
  6. Step 6: Final answer
    x = 3,413.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.