Home / 2,121.85-3,183.05-823.15

Finding the Fourth Proportional to 2,121.85, 3,183.05 and 823.15

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Solution

The fourth proportional to 2,121.85, 3,183.05 and 823.15 is: 1,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.85 : 3,183.05 = 823.15 : x
  2. Step 2: Convert to fraction form
    2,121.85/3,183.05 = 823.15/x
  3. Step 3: Cross multiply
    2,121.85x = 3,183.05 × 823.15
  4. Step 4: Simplify right side
    2,121.85x = 2,620,127.61
  5. Step 5: Solve for x
    x = 2,620,127.61/2,121.85
  6. Step 6: Final answer
    x = 1,234.83

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1.5x scale

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.