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Finding the Fourth Proportional to 3,198.80, 4,409.16 and 3,198.80

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Solution

The fourth proportional to 3,198.80, 4,409.16 and 3,198.80 is: 4,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.80 : 4,409.16 = 3,198.80 : x
  2. Step 2: Convert to fraction form
    3,198.80/4,409.16 = 3,198.80/x
  3. Step 3: Cross multiply
    3,198.80x = 4,409.16 × 3,198.80
  4. Step 4: Simplify right side
    3,198.80x = 14,104,021.01
  5. Step 5: Solve for x
    x = 14,104,021.01/3,198.80
  6. Step 6: Final answer
    x = 4,409.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.