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Finding the Fourth Proportional to 2,122.48, 3,183.71 and 806.23

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Solution

The fourth proportional to 2,122.48, 3,183.71 and 806.23 is: 1,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.48 : 3,183.71 = 806.23 : x
  2. Step 2: Convert to fraction form
    2,122.48/3,183.71 = 806.23/x
  3. Step 3: Cross multiply
    2,122.48x = 3,183.71 × 806.23
  4. Step 4: Simplify right side
    2,122.48x = 2,566,801.16
  5. Step 5: Solve for x
    x = 2,566,801.16/2,122.48
  6. Step 6: Final answer
    x = 1,209.34

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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.