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Finding the Fourth Proportional to 1,879.66, 2,819.97 and 1,100.32

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Solution

The fourth proportional to 1,879.66, 2,819.97 and 1,100.32 is: 1,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.66 : 2,819.97 = 1,100.32 : x
  2. Step 2: Convert to fraction form
    1,879.66/2,819.97 = 1,100.32/x
  3. Step 3: Cross multiply
    1,879.66x = 2,819.97 × 1,100.32
  4. Step 4: Simplify right side
    1,879.66x = 3,102,862.34
  5. Step 5: Solve for x
    x = 3,102,862.34/1,879.66
  6. Step 6: Final answer
    x = 1,650.76

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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.