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Finding the Fourth Proportional to 2,789.28, 4,183.91 and 842.04

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Solution

The fourth proportional to 2,789.28, 4,183.91 and 842.04 is: 1,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.28 : 4,183.91 = 842.04 : x
  2. Step 2: Convert to fraction form
    2,789.28/4,183.91 = 842.04/x
  3. Step 3: Cross multiply
    2,789.28x = 4,183.91 × 842.04
  4. Step 4: Simplify right side
    2,789.28x = 3,523,019.58
  5. Step 5: Solve for x
    x = 3,523,019.58/2,789.28
  6. Step 6: Final answer
    x = 1,263.06

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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.