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Finding the Fourth Proportional to 4,268, 5,891.46 and 2,871.56

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Solution

The fourth proportional to 4,268, 5,891.46 and 2,871.56 is: 3,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268 : 5,891.46 = 2,871.56 : x
  2. Step 2: Convert to fraction form
    4,268/5,891.46 = 2,871.56/x
  3. Step 3: Cross multiply
    4,268x = 5,891.46 × 2,871.56
  4. Step 4: Simplify right side
    4,268x = 16,917,680.88
  5. Step 5: Solve for x
    x = 16,917,680.88/4,268
  6. Step 6: Final answer
    x = 3,963.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.