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Finding the Fourth Proportional to 7,189.82, 10,783.11 and 1,996.10

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Solution

The fourth proportional to 7,189.82, 10,783.11 and 1,996.10 is: 2,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.82 : 10,783.11 = 1,996.10 : x
  2. Step 2: Convert to fraction form
    7,189.82/10,783.11 = 1,996.10/x
  3. Step 3: Cross multiply
    7,189.82x = 10,783.11 × 1,996.10
  4. Step 4: Simplify right side
    7,189.82x = 21,524,165.87
  5. Step 5: Solve for x
    x = 21,524,165.87/7,189.82
  6. Step 6: Final answer
    x = 2,993.70

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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.