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Finding the Fourth Proportional to 3,220.80, 4,834.80 and 1,759.20

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Solution

The fourth proportional to 3,220.80, 4,834.80 and 1,759.20 is: 2,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.80 : 4,834.80 = 1,759.20 : x
  2. Step 2: Convert to fraction form
    3,220.80/4,834.80 = 1,759.20/x
  3. Step 3: Cross multiply
    3,220.80x = 4,834.80 × 1,759.20
  4. Step 4: Simplify right side
    3,220.80x = 8,505,380.16
  5. Step 5: Solve for x
    x = 8,505,380.16/3,220.80
  6. Step 6: Final answer
    x = 2,640.77

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Why These Related Problems?

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