Home / 2,123.22-3,183.61-823.17

Finding the Fourth Proportional to 2,123.22, 3,183.61 and 823.17

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Solution

The fourth proportional to 2,123.22, 3,183.61 and 823.17 is: 1,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.22 : 3,183.61 = 823.17 : x
  2. Step 2: Convert to fraction form
    2,123.22/3,183.61 = 823.17/x
  3. Step 3: Cross multiply
    2,123.22x = 3,183.61 × 823.17
  4. Step 4: Simplify right side
    2,123.22x = 2,620,663.67
  5. Step 5: Solve for x
    x = 2,620,663.67/2,123.22
  6. Step 6: Final answer
    x = 1,234.29

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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.