Home / 2,022.33-3,031.69-789.46

Finding the Fourth Proportional to 2,022.33, 3,031.69 and 789.46

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Solution

The fourth proportional to 2,022.33, 3,031.69 and 789.46 is: 1,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.33 : 3,031.69 = 789.46 : x
  2. Step 2: Convert to fraction form
    2,022.33/3,031.69 = 789.46/x
  3. Step 3: Cross multiply
    2,022.33x = 3,031.69 × 789.46
  4. Step 4: Simplify right side
    2,022.33x = 2,393,384.80
  5. Step 5: Solve for x
    x = 2,393,384.80/2,022.33
  6. Step 6: Final answer
    x = 1,183.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.