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Finding the Fourth Proportional to 3,081.88, 4,611.84 and 2,258.11

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Solution

The fourth proportional to 3,081.88, 4,611.84 and 2,258.11 is: 3,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.88 : 4,611.84 = 2,258.11 : x
  2. Step 2: Convert to fraction form
    3,081.88/4,611.84 = 2,258.11/x
  3. Step 3: Cross multiply
    3,081.88x = 4,611.84 × 2,258.11
  4. Step 4: Simplify right side
    3,081.88x = 10,414,039.32
  5. Step 5: Solve for x
    x = 10,414,039.32/3,081.88
  6. Step 6: Final answer
    x = 3,379.12

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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.