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Finding the Fourth Proportional to 13,198.50, 19,797.84 and 3,964.50

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Solution

The fourth proportional to 13,198.50, 19,797.84 and 3,964.50 is: 5,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.50 : 19,797.84 = 3,964.50 : x
  2. Step 2: Convert to fraction form
    13,198.50/19,797.84 = 3,964.50/x
  3. Step 3: Cross multiply
    13,198.50x = 19,797.84 × 3,964.50
  4. Step 4: Simplify right side
    13,198.50x = 78,488,536.68
  5. Step 5: Solve for x
    x = 78,488,536.68/13,198.50
  6. Step 6: Final answer
    x = 5,946.78

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Similar ratio
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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.