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Finding the Fourth Proportional to 2,874.24, 4,311.40 and 822.24

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Solution

The fourth proportional to 2,874.24, 4,311.40 and 822.24 is: 1,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.24 : 4,311.40 = 822.24 : x
  2. Step 2: Convert to fraction form
    2,874.24/4,311.40 = 822.24/x
  3. Step 3: Cross multiply
    2,874.24x = 4,311.40 × 822.24
  4. Step 4: Simplify right side
    2,874.24x = 3,545,005.54
  5. Step 5: Solve for x
    x = 3,545,005.54/2,874.24
  6. Step 6: Final answer
    x = 1,233.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.