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Finding the Fourth Proportional to 2,686, 4,029 and 862

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Solution

The fourth proportional to 2,686, 4,029 and 862 is: 1,293

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686 : 4,029 = 862 : x
  2. Step 2: Convert to fraction form
    2,686/4,029 = 862/x
  3. Step 3: Cross multiply
    2,686x = 4,029 × 862
  4. Step 4: Simplify right side
    2,686x = 3,472,998
  5. Step 5: Solve for x
    x = 3,472,998/2,686
  6. Step 6: Final answer
    x = 1,293

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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.