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Finding the Fourth Proportional to 2,086.11, 3,129.18 and 699.42

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Solution

The fourth proportional to 2,086.11, 3,129.18 and 699.42 is: 1,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.11 : 3,129.18 = 699.42 : x
  2. Step 2: Convert to fraction form
    2,086.11/3,129.18 = 699.42/x
  3. Step 3: Cross multiply
    2,086.11x = 3,129.18 × 699.42
  4. Step 4: Simplify right side
    2,086.11x = 2,188,611.08
  5. Step 5: Solve for x
    x = 2,188,611.08/2,086.11
  6. Step 6: Final answer
    x = 1,049.14

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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.