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Finding the Fourth Proportional to 3,469.15, 5,202.78 and 1,520.88

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Solution

The fourth proportional to 3,469.15, 5,202.78 and 1,520.88 is: 2,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.15 : 5,202.78 = 1,520.88 : x
  2. Step 2: Convert to fraction form
    3,469.15/5,202.78 = 1,520.88/x
  3. Step 3: Cross multiply
    3,469.15x = 5,202.78 × 1,520.88
  4. Step 4: Simplify right side
    3,469.15x = 7,912,804.05
  5. Step 5: Solve for x
    x = 7,912,804.05/3,469.15
  6. Step 6: Final answer
    x = 2,280.91

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1.5x scale

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.