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Finding the Fourth Proportional to 3,138.85, 4,709.08 and 2,216.21

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Solution

The fourth proportional to 3,138.85, 4,709.08 and 2,216.21 is: 3,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.85 : 4,709.08 = 2,216.21 : x
  2. Step 2: Convert to fraction form
    3,138.85/4,709.08 = 2,216.21/x
  3. Step 3: Cross multiply
    3,138.85x = 4,709.08 × 2,216.21
  4. Step 4: Simplify right side
    3,138.85x = 10,436,310.19
  5. Step 5: Solve for x
    x = 10,436,310.19/3,138.85
  6. Step 6: Final answer
    x = 3,324.88

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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.