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Finding the Fourth Proportional to 3,469.46, 5,202.03 and 1,619.78

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Solution

The fourth proportional to 3,469.46, 5,202.03 and 1,619.78 is: 2,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.46 : 5,202.03 = 1,619.78 : x
  2. Step 2: Convert to fraction form
    3,469.46/5,202.03 = 1,619.78/x
  3. Step 3: Cross multiply
    3,469.46x = 5,202.03 × 1,619.78
  4. Step 4: Simplify right side
    3,469.46x = 8,426,144.15
  5. Step 5: Solve for x
    x = 8,426,144.15/3,469.46
  6. Step 6: Final answer
    x = 2,428.66

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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.