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Finding the Fourth Proportional to 2,194.75, 3,291.38 and 809.38

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Solution

The fourth proportional to 2,194.75, 3,291.38 and 809.38 is: 1,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.75 : 3,291.38 = 809.38 : x
  2. Step 2: Convert to fraction form
    2,194.75/3,291.38 = 809.38/x
  3. Step 3: Cross multiply
    2,194.75x = 3,291.38 × 809.38
  4. Step 4: Simplify right side
    2,194.75x = 2,663,977.14
  5. Step 5: Solve for x
    x = 2,663,977.14/2,194.75
  6. Step 6: Final answer
    x = 1,213.80

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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.