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Finding the Fourth Proportional to 2,189.80, 3,198.26 and 2,189.80

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Solution

The fourth proportional to 2,189.80, 3,198.26 and 2,189.80 is: 3,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.80 : 3,198.26 = 2,189.80 : x
  2. Step 2: Convert to fraction form
    2,189.80/3,198.26 = 2,189.80/x
  3. Step 3: Cross multiply
    2,189.80x = 3,198.26 × 2,189.80
  4. Step 4: Simplify right side
    2,189.80x = 7,003,549.75
  5. Step 5: Solve for x
    x = 7,003,549.75/2,189.80
  6. Step 6: Final answer
    x = 3,198.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.