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Finding the Fourth Proportional to 3,894.52, 5,840.92 and 1,120.58

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Solution

The fourth proportional to 3,894.52, 5,840.92 and 1,120.58 is: 1,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.52 : 5,840.92 = 1,120.58 : x
  2. Step 2: Convert to fraction form
    3,894.52/5,840.92 = 1,120.58/x
  3. Step 3: Cross multiply
    3,894.52x = 5,840.92 × 1,120.58
  4. Step 4: Simplify right side
    3,894.52x = 6,545,183.33
  5. Step 5: Solve for x
    x = 6,545,183.33/3,894.52
  6. Step 6: Final answer
    x = 1,680.61

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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.