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Finding the Fourth Proportional to 2,847, 4,268.34 and 1,546.68

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Solution

The fourth proportional to 2,847, 4,268.34 and 1,546.68 is: 2,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847 : 4,268.34 = 1,546.68 : x
  2. Step 2: Convert to fraction form
    2,847/4,268.34 = 1,546.68/x
  3. Step 3: Cross multiply
    2,847x = 4,268.34 × 1,546.68
  4. Step 4: Simplify right side
    2,847x = 6,601,756.11
  5. Step 5: Solve for x
    x = 6,601,756.11/2,847
  6. Step 6: Final answer
    x = 2,318.85

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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.