Home / 2,843.82-3,924.66-1,584.86

Finding the Fourth Proportional to 2,843.82, 3,924.66 and 1,584.86

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Solution

The fourth proportional to 2,843.82, 3,924.66 and 1,584.86 is: 2,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.82 : 3,924.66 = 1,584.86 : x
  2. Step 2: Convert to fraction form
    2,843.82/3,924.66 = 1,584.86/x
  3. Step 3: Cross multiply
    2,843.82x = 3,924.66 × 1,584.86
  4. Step 4: Simplify right side
    2,843.82x = 6,220,036.65
  5. Step 5: Solve for x
    x = 6,220,036.65/2,843.82
  6. Step 6: Final answer
    x = 2,187.21

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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.