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Finding the Fourth Proportional to 2,661.26, 3,992.49 and 812.41

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Solution

The fourth proportional to 2,661.26, 3,992.49 and 812.41 is: 1,218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.26 : 3,992.49 = 812.41 : x
  2. Step 2: Convert to fraction form
    2,661.26/3,992.49 = 812.41/x
  3. Step 3: Cross multiply
    2,661.26x = 3,992.49 × 812.41
  4. Step 4: Simplify right side
    2,661.26x = 3,243,518.84
  5. Step 5: Solve for x
    x = 3,243,518.84/2,661.26
  6. Step 6: Final answer
    x = 1,218.79

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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.