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Finding the Fourth Proportional to 3,535.50, 4,880.22 and 2,138.26

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Solution

The fourth proportional to 3,535.50, 4,880.22 and 2,138.26 is: 2,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.50 : 4,880.22 = 2,138.26 : x
  2. Step 2: Convert to fraction form
    3,535.50/4,880.22 = 2,138.26/x
  3. Step 3: Cross multiply
    3,535.50x = 4,880.22 × 2,138.26
  4. Step 4: Simplify right side
    3,535.50x = 10,435,179.22
  5. Step 5: Solve for x
    x = 10,435,179.22/3,535.50
  6. Step 6: Final answer
    x = 2,951.54

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