Home / 2,843.68-3,924.30-1,782.04

Finding the Fourth Proportional to 2,843.68, 3,924.30 and 1,782.04

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Solution

The fourth proportional to 2,843.68, 3,924.30 and 1,782.04 is: 2,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.68 : 3,924.30 = 1,782.04 : x
  2. Step 2: Convert to fraction form
    2,843.68/3,924.30 = 1,782.04/x
  3. Step 3: Cross multiply
    2,843.68x = 3,924.30 × 1,782.04
  4. Step 4: Simplify right side
    2,843.68x = 6,993,259.57
  5. Step 5: Solve for x
    x = 6,993,259.57/2,843.68
  6. Step 6: Final answer
    x = 2,459.23

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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.