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Finding the Fourth Proportional to 3,198.81, 4,797.14 and 1,223.98

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Solution

The fourth proportional to 3,198.81, 4,797.14 and 1,223.98 is: 1,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.81 : 4,797.14 = 1,223.98 : x
  2. Step 2: Convert to fraction form
    3,198.81/4,797.14 = 1,223.98/x
  3. Step 3: Cross multiply
    3,198.81x = 4,797.14 × 1,223.98
  4. Step 4: Simplify right side
    3,198.81x = 5,871,603.48
  5. Step 5: Solve for x
    x = 5,871,603.48/3,198.81
  6. Step 6: Final answer
    x = 1,835.56

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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.