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Finding the Fourth Proportional to 3,197.66, 4,414.49 and 2,243.49

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Solution

The fourth proportional to 3,197.66, 4,414.49 and 2,243.49 is: 3,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.66 : 4,414.49 = 2,243.49 : x
  2. Step 2: Convert to fraction form
    3,197.66/4,414.49 = 2,243.49/x
  3. Step 3: Cross multiply
    3,197.66x = 4,414.49 × 2,243.49
  4. Step 4: Simplify right side
    3,197.66x = 9,903,869.78
  5. Step 5: Solve for x
    x = 9,903,869.78/3,197.66
  6. Step 6: Final answer
    x = 3,097.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.