Home / 3,042.25-4,198.31-1,645

Finding the Fourth Proportional to 3,042.25, 4,198.31 and 1,645

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Solution

The fourth proportional to 3,042.25, 4,198.31 and 1,645 is: 2,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.25 : 4,198.31 = 1,645 : x
  2. Step 2: Convert to fraction form
    3,042.25/4,198.31 = 1,645/x
  3. Step 3: Cross multiply
    3,042.25x = 4,198.31 × 1,645
  4. Step 4: Simplify right side
    3,042.25x = 6,906,219.95
  5. Step 5: Solve for x
    x = 6,906,219.95/3,042.25
  6. Step 6: Final answer
    x = 2,270.10

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Why These Related Problems?

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