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Finding the Fourth Proportional to 1,940.22, 2,908.68 and 843.75

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Solution

The fourth proportional to 1,940.22, 2,908.68 and 843.75 is: 1,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.22 : 2,908.68 = 843.75 : x
  2. Step 2: Convert to fraction form
    1,940.22/2,908.68 = 843.75/x
  3. Step 3: Cross multiply
    1,940.22x = 2,908.68 × 843.75
  4. Step 4: Simplify right side
    1,940.22x = 2,454,198.75
  5. Step 5: Solve for x
    x = 2,454,198.75/1,940.22
  6. Step 6: Final answer
    x = 1,264.91

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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.