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Finding the Fourth Proportional to 2,661.28, 3,992.12 and 812.53

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Solution

The fourth proportional to 2,661.28, 3,992.12 and 812.53 is: 1,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.28 : 3,992.12 = 812.53 : x
  2. Step 2: Convert to fraction form
    2,661.28/3,992.12 = 812.53/x
  3. Step 3: Cross multiply
    2,661.28x = 3,992.12 × 812.53
  4. Step 4: Simplify right side
    2,661.28x = 3,243,717.26
  5. Step 5: Solve for x
    x = 3,243,717.26/2,661.28
  6. Step 6: Final answer
    x = 1,218.86

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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.