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Finding the Fourth Proportional to 2,685, 4,028.46 and 861

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Solution

The fourth proportional to 2,685, 4,028.46 and 861 is: 1,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685 : 4,028.46 = 861 : x
  2. Step 2: Convert to fraction form
    2,685/4,028.46 = 861/x
  3. Step 3: Cross multiply
    2,685x = 4,028.46 × 861
  4. Step 4: Simplify right side
    2,685x = 3,468,504.06
  5. Step 5: Solve for x
    x = 3,468,504.06/2,685
  6. Step 6: Final answer
    x = 1,291.81

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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.