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Finding the Fourth Proportional to 3,042.69, 4,198.92 and 1,645.44

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Solution

The fourth proportional to 3,042.69, 4,198.92 and 1,645.44 is: 2,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.69 : 4,198.92 = 1,645.44 : x
  2. Step 2: Convert to fraction form
    3,042.69/4,198.92 = 1,645.44/x
  3. Step 3: Cross multiply
    3,042.69x = 4,198.92 × 1,645.44
  4. Step 4: Simplify right side
    3,042.69x = 6,909,062.70
  5. Step 5: Solve for x
    x = 6,909,062.70/3,042.69
  6. Step 6: Final answer
    x = 2,270.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.