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Finding the Fourth Proportional to 3,469.78, 5,204.74 and 1,129.78

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Solution

The fourth proportional to 3,469.78, 5,204.74 and 1,129.78 is: 1,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.78 : 5,204.74 = 1,129.78 : x
  2. Step 2: Convert to fraction form
    3,469.78/5,204.74 = 1,129.78/x
  3. Step 3: Cross multiply
    3,469.78x = 5,204.74 × 1,129.78
  4. Step 4: Simplify right side
    3,469.78x = 5,880,211.16
  5. Step 5: Solve for x
    x = 5,880,211.16/3,469.78
  6. Step 6: Final answer
    x = 1,694.69

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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.