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Finding the Fourth Proportional to 2,162, 3,243 and 946

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Solution

The fourth proportional to 2,162, 3,243 and 946 is: 1,419

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162 : 3,243 = 946 : x
  2. Step 2: Convert to fraction form
    2,162/3,243 = 946/x
  3. Step 3: Cross multiply
    2,162x = 3,243 × 946
  4. Step 4: Simplify right side
    2,162x = 3,067,878
  5. Step 5: Solve for x
    x = 3,067,878/2,162
  6. Step 6: Final answer
    x = 1,419

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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.