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Finding the Fourth Proportional to 3,198.81, 4,414.92 and 1,922.34

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Solution

The fourth proportional to 3,198.81, 4,414.92 and 1,922.34 is: 2,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.81 : 4,414.92 = 1,922.34 : x
  2. Step 2: Convert to fraction form
    3,198.81/4,414.92 = 1,922.34/x
  3. Step 3: Cross multiply
    3,198.81x = 4,414.92 × 1,922.34
  4. Step 4: Simplify right side
    3,198.81x = 8,486,977.31
  5. Step 5: Solve for x
    x = 8,486,977.31/3,198.81
  6. Step 6: Final answer
    x = 2,653.17

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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.