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Finding the Fourth Proportional to 3,846.70, 5,761.95 and 3,198.70

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Solution

The fourth proportional to 3,846.70, 5,761.95 and 3,198.70 is: 4,791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.70 : 5,761.95 = 3,198.70 : x
  2. Step 2: Convert to fraction form
    3,846.70/5,761.95 = 3,198.70/x
  3. Step 3: Cross multiply
    3,846.70x = 5,761.95 × 3,198.70
  4. Step 4: Simplify right side
    3,846.70x = 18,430,749.47
  5. Step 5: Solve for x
    x = 18,430,749.47/3,846.70
  6. Step 6: Final answer
    x = 4,791.31

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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.