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Finding the Fourth Proportional to 2,660.96, 3,991.67 and 812.09

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Solution

The fourth proportional to 2,660.96, 3,991.67 and 812.09 is: 1,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.96 : 3,991.67 = 812.09 : x
  2. Step 2: Convert to fraction form
    2,660.96/3,991.67 = 812.09/x
  3. Step 3: Cross multiply
    2,660.96x = 3,991.67 × 812.09
  4. Step 4: Simplify right side
    2,660.96x = 3,241,604.25
  5. Step 5: Solve for x
    x = 3,241,604.25/2,660.96
  6. Step 6: Final answer
    x = 1,218.21

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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.