Home / 2,049.28-3,074.26-643.79

Finding the Fourth Proportional to 2,049.28, 3,074.26 and 643.79

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Solution

The fourth proportional to 2,049.28, 3,074.26 and 643.79 is: 965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.28 : 3,074.26 = 643.79 : x
  2. Step 2: Convert to fraction form
    2,049.28/3,074.26 = 643.79/x
  3. Step 3: Cross multiply
    2,049.28x = 3,074.26 × 643.79
  4. Step 4: Simplify right side
    2,049.28x = 1,979,177.85
  5. Step 5: Solve for x
    x = 1,979,177.85/2,049.28
  6. Step 6: Final answer
    x = 965.79

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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.