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Finding the Fourth Proportional to 2,660.82, 3,992.00 and 1,100.54

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Solution

The fourth proportional to 2,660.82, 3,992.00 and 1,100.54 is: 1,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.82 : 3,992.00 = 1,100.54 : x
  2. Step 2: Convert to fraction form
    2,660.82/3,992.00 = 1,100.54/x
  3. Step 3: Cross multiply
    2,660.82x = 3,992.00 × 1,100.54
  4. Step 4: Simplify right side
    2,660.82x = 4,393,338.47
  5. Step 5: Solve for x
    x = 4,393,338.47/2,660.82
  6. Step 6: Final answer
    x = 1,651.12

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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.