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Finding the Fourth Proportional to 13,197, 19,797.12 and 3,963

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Solution

The fourth proportional to 13,197, 19,797.12 and 3,963 is: 5,944.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197 : 19,797.12 = 3,963 : x
  2. Step 2: Convert to fraction form
    13,197/19,797.12 = 3,963/x
  3. Step 3: Cross multiply
    13,197x = 19,797.12 × 3,963
  4. Step 4: Simplify right side
    13,197x = 78,455,986.56
  5. Step 5: Solve for x
    x = 78,455,986.56/13,197
  6. Step 6: Final answer
    x = 5,944.99

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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.