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Finding the Fourth Proportional to 1,862.75, 2,794.89 and 822.20

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Solution

The fourth proportional to 1,862.75, 2,794.89 and 822.20 is: 1,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.75 : 2,794.89 = 822.20 : x
  2. Step 2: Convert to fraction form
    1,862.75/2,794.89 = 822.20/x
  3. Step 3: Cross multiply
    1,862.75x = 2,794.89 × 822.20
  4. Step 4: Simplify right side
    1,862.75x = 2,297,958.56
  5. Step 5: Solve for x
    x = 2,297,958.56/1,862.75
  6. Step 6: Final answer
    x = 1,233.64

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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.