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Finding the Fourth Proportional to 3,879.58, 5,819.42 and 1,106.26

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Solution

The fourth proportional to 3,879.58, 5,819.42 and 1,106.26 is: 1,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.58 : 5,819.42 = 1,106.26 : x
  2. Step 2: Convert to fraction form
    3,879.58/5,819.42 = 1,106.26/x
  3. Step 3: Cross multiply
    3,879.58x = 5,819.42 × 1,106.26
  4. Step 4: Simplify right side
    3,879.58x = 6,437,791.57
  5. Step 5: Solve for x
    x = 6,437,791.57/3,879.58
  6. Step 6: Final answer
    x = 1,659.40

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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.