Home / 3,138.25-4,707.69-829.75

Finding the Fourth Proportional to 3,138.25, 4,707.69 and 829.75

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Solution

The fourth proportional to 3,138.25, 4,707.69 and 829.75 is: 1,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.25 : 4,707.69 = 829.75 : x
  2. Step 2: Convert to fraction form
    3,138.25/4,707.69 = 829.75/x
  3. Step 3: Cross multiply
    3,138.25x = 4,707.69 × 829.75
  4. Step 4: Simplify right side
    3,138.25x = 3,906,205.78
  5. Step 5: Solve for x
    x = 3,906,205.78/3,138.25
  6. Step 6: Final answer
    x = 1,244.71

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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.