Home / 1,882.13-2,824.40-727.88

Finding the Fourth Proportional to 1,882.13, 2,824.40 and 727.88

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Solution

The fourth proportional to 1,882.13, 2,824.40 and 727.88 is: 1,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.13 : 2,824.40 = 727.88 : x
  2. Step 2: Convert to fraction form
    1,882.13/2,824.40 = 727.88/x
  3. Step 3: Cross multiply
    1,882.13x = 2,824.40 × 727.88
  4. Step 4: Simplify right side
    1,882.13x = 2,055,811.97
  5. Step 5: Solve for x
    x = 2,055,811.97/1,882.13
  6. Step 6: Final answer
    x = 1,092.28

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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.