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Finding the Fourth Proportional to 2,204.80, 3,308.80 and 1,722

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Solution

The fourth proportional to 2,204.80, 3,308.80 and 1,722 is: 2,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.80 : 3,308.80 = 1,722 : x
  2. Step 2: Convert to fraction form
    2,204.80/3,308.80 = 1,722/x
  3. Step 3: Cross multiply
    2,204.80x = 3,308.80 × 1,722
  4. Step 4: Simplify right side
    2,204.80x = 5,697,753.60
  5. Step 5: Solve for x
    x = 5,697,753.60/2,204.80
  6. Step 6: Final answer
    x = 2,584.25

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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.