Home / 2,120.85-3,179.66-823.23

Finding the Fourth Proportional to 2,120.85, 3,179.66 and 823.23

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Solution

The fourth proportional to 2,120.85, 3,179.66 and 823.23 is: 1,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.85 : 3,179.66 = 823.23 : x
  2. Step 2: Convert to fraction form
    2,120.85/3,179.66 = 823.23/x
  3. Step 3: Cross multiply
    2,120.85x = 3,179.66 × 823.23
  4. Step 4: Simplify right side
    2,120.85x = 2,617,587.39
  5. Step 5: Solve for x
    x = 2,617,587.39/2,120.85
  6. Step 6: Final answer
    x = 1,234.22

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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.