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Finding the Fourth Proportional to 3,469.79, 5,202.81 and 1,519.71

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Solution

The fourth proportional to 3,469.79, 5,202.81 and 1,519.71 is: 2,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.79 : 5,202.81 = 1,519.71 : x
  2. Step 2: Convert to fraction form
    3,469.79/5,202.81 = 1,519.71/x
  3. Step 3: Cross multiply
    3,469.79x = 5,202.81 × 1,519.71
  4. Step 4: Simplify right side
    3,469.79x = 7,906,762.39
  5. Step 5: Solve for x
    x = 7,906,762.39/3,469.79
  6. Step 6: Final answer
    x = 2,278.75

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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.