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Finding the Fourth Proportional to 2,660.98, 3,991.47 and 1,198.42

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Solution

The fourth proportional to 2,660.98, 3,991.47 and 1,198.42 is: 1,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.98 : 3,991.47 = 1,198.42 : x
  2. Step 2: Convert to fraction form
    2,660.98/3,991.47 = 1,198.42/x
  3. Step 3: Cross multiply
    2,660.98x = 3,991.47 × 1,198.42
  4. Step 4: Simplify right side
    2,660.98x = 4,783,457.48
  5. Step 5: Solve for x
    x = 4,783,457.48/2,660.98
  6. Step 6: Final answer
    x = 1,797.63

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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.