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Finding the Fourth Proportional to 3,391.40, 5,083.70 and 1,198.70

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Solution

The fourth proportional to 3,391.40, 5,083.70 and 1,198.70 is: 1,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.40 : 5,083.70 = 1,198.70 : x
  2. Step 2: Convert to fraction form
    3,391.40/5,083.70 = 1,198.70/x
  3. Step 3: Cross multiply
    3,391.40x = 5,083.70 × 1,198.70
  4. Step 4: Simplify right side
    3,391.40x = 6,093,818.84
  5. Step 5: Solve for x
    x = 6,093,818.84/3,391.40
  6. Step 6: Final answer
    x = 1,796.84

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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.