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Finding the Fourth Proportional to 2,161.21, 3,241 and 699.97

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Solution

The fourth proportional to 2,161.21, 3,241 and 699.97 is: 1,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.21 : 3,241 = 699.97 : x
  2. Step 2: Convert to fraction form
    2,161.21/3,241 = 699.97/x
  3. Step 3: Cross multiply
    2,161.21x = 3,241 × 699.97
  4. Step 4: Simplify right side
    2,161.21x = 2,268,602.77
  5. Step 5: Solve for x
    x = 2,268,602.77/2,161.21
  6. Step 6: Final answer
    x = 1,049.69

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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.