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Finding the Fourth Proportional to 2,121.76, 3,183.93 and 823.18

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Solution

The fourth proportional to 2,121.76, 3,183.93 and 823.18 is: 1,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.76 : 3,183.93 = 823.18 : x
  2. Step 2: Convert to fraction form
    2,121.76/3,183.93 = 823.18/x
  3. Step 3: Cross multiply
    2,121.76x = 3,183.93 × 823.18
  4. Step 4: Simplify right side
    2,121.76x = 2,620,947.50
  5. Step 5: Solve for x
    x = 2,620,947.50/2,121.76
  6. Step 6: Final answer
    x = 1,235.27

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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.