Home / 2,843.64-4,261.14-2,109.78

Finding the Fourth Proportional to 2,843.64, 4,261.14 and 2,109.78

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Solution

The fourth proportional to 2,843.64, 4,261.14 and 2,109.78 is: 3,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.64 : 4,261.14 = 2,109.78 : x
  2. Step 2: Convert to fraction form
    2,843.64/4,261.14 = 2,109.78/x
  3. Step 3: Cross multiply
    2,843.64x = 4,261.14 × 2,109.78
  4. Step 4: Simplify right side
    2,843.64x = 8,990,067.95
  5. Step 5: Solve for x
    x = 8,990,067.95/2,843.64
  6. Step 6: Final answer
    x = 3,161.46

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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.