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Finding the Fourth Proportional to 3,879.90, 5,819.95 and 1,106.49

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Solution

The fourth proportional to 3,879.90, 5,819.95 and 1,106.49 is: 1,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.90 : 5,819.95 = 1,106.49 : x
  2. Step 2: Convert to fraction form
    3,879.90/5,819.95 = 1,106.49/x
  3. Step 3: Cross multiply
    3,879.90x = 5,819.95 × 1,106.49
  4. Step 4: Simplify right side
    3,879.90x = 6,439,739.68
  5. Step 5: Solve for x
    x = 6,439,739.68/3,879.90
  6. Step 6: Final answer
    x = 1,659.77

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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.