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Finding the Fourth Proportional to 2,947.22, 4,067.04 and 1,620.90

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Solution

The fourth proportional to 2,947.22, 4,067.04 and 1,620.90 is: 2,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.22 : 4,067.04 = 1,620.90 : x
  2. Step 2: Convert to fraction form
    2,947.22/4,067.04 = 1,620.90/x
  3. Step 3: Cross multiply
    2,947.22x = 4,067.04 × 1,620.90
  4. Step 4: Simplify right side
    2,947.22x = 6,592,265.14
  5. Step 5: Solve for x
    x = 6,592,265.14/2,947.22
  6. Step 6: Final answer
    x = 2,236.78

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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.