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Finding the Fourth Proportional to 3,469.91, 5,203.67 and 1,129.33

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Solution

The fourth proportional to 3,469.91, 5,203.67 and 1,129.33 is: 1,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.91 : 5,203.67 = 1,129.33 : x
  2. Step 2: Convert to fraction form
    3,469.91/5,203.67 = 1,129.33/x
  3. Step 3: Cross multiply
    3,469.91x = 5,203.67 × 1,129.33
  4. Step 4: Simplify right side
    3,469.91x = 5,876,650.46
  5. Step 5: Solve for x
    x = 5,876,650.46/3,469.91
  6. Step 6: Final answer
    x = 1,693.61

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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.