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Finding the Fourth Proportional to 2,183.90, 3,276.40 and 798

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Solution

The fourth proportional to 2,183.90, 3,276.40 and 798 is: 1,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.90 : 3,276.40 = 798 : x
  2. Step 2: Convert to fraction form
    2,183.90/3,276.40 = 798/x
  3. Step 3: Cross multiply
    2,183.90x = 3,276.40 × 798
  4. Step 4: Simplify right side
    2,183.90x = 2,614,567.20
  5. Step 5: Solve for x
    x = 2,614,567.20/2,183.90
  6. Step 6: Final answer
    x = 1,197.20

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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.