Home / 3,020.68-4,530.81-829.22

Finding the Fourth Proportional to 3,020.68, 4,530.81 and 829.22

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Solution

The fourth proportional to 3,020.68, 4,530.81 and 829.22 is: 1,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.68 : 4,530.81 = 829.22 : x
  2. Step 2: Convert to fraction form
    3,020.68/4,530.81 = 829.22/x
  3. Step 3: Cross multiply
    3,020.68x = 4,530.81 × 829.22
  4. Step 4: Simplify right side
    3,020.68x = 3,757,049.60
  5. Step 5: Solve for x
    x = 3,757,049.60/3,020.68
  6. Step 6: Final answer
    x = 1,243.78

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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.