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Finding the Fourth Proportional to 3,083.88, 4,614.83 and 2,260.11

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Solution

The fourth proportional to 3,083.88, 4,614.83 and 2,260.11 is: 3,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.88 : 4,614.83 = 2,260.11 : x
  2. Step 2: Convert to fraction form
    3,083.88/4,614.83 = 2,260.11/x
  3. Step 3: Cross multiply
    3,083.88x = 4,614.83 × 2,260.11
  4. Step 4: Simplify right side
    3,083.88x = 10,430,023.43
  5. Step 5: Solve for x
    x = 10,430,023.43/3,083.88
  6. Step 6: Final answer
    x = 3,382.11

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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.