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Finding the Fourth Proportional to 2,789.31, 4,183.97 and 842.88

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Solution

The fourth proportional to 2,789.31, 4,183.97 and 842.88 is: 1,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.31 : 4,183.97 = 842.88 : x
  2. Step 2: Convert to fraction form
    2,789.31/4,183.97 = 842.88/x
  3. Step 3: Cross multiply
    2,789.31x = 4,183.97 × 842.88
  4. Step 4: Simplify right side
    2,789.31x = 3,526,584.63
  5. Step 5: Solve for x
    x = 3,526,584.63/2,789.31
  6. Step 6: Final answer
    x = 1,264.32

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1.5x scale

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.