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Finding the Fourth Proportional to 2,095.21, 3,142.92 and 796.78

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Solution

The fourth proportional to 2,095.21, 3,142.92 and 796.78 is: 1,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.21 : 3,142.92 = 796.78 : x
  2. Step 2: Convert to fraction form
    2,095.21/3,142.92 = 796.78/x
  3. Step 3: Cross multiply
    2,095.21x = 3,142.92 × 796.78
  4. Step 4: Simplify right side
    2,095.21x = 2,504,215.80
  5. Step 5: Solve for x
    x = 2,504,215.80/2,095.21
  6. Step 6: Final answer
    x = 1,195.21

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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.