Home / 2,121.60-3,183.56-823.12

Finding the Fourth Proportional to 2,121.60, 3,183.56 and 823.12

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Solution

The fourth proportional to 2,121.60, 3,183.56 and 823.12 is: 1,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.60 : 3,183.56 = 823.12 : x
  2. Step 2: Convert to fraction form
    2,121.60/3,183.56 = 823.12/x
  3. Step 3: Cross multiply
    2,121.60x = 3,183.56 × 823.12
  4. Step 4: Simplify right side
    2,121.60x = 2,620,451.91
  5. Step 5: Solve for x
    x = 2,620,451.91/2,121.60
  6. Step 6: Final answer
    x = 1,235.13

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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.