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Finding the Fourth Proportional to 2,822.64, 4,234.36 and 874.56

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Solution

The fourth proportional to 2,822.64, 4,234.36 and 874.56 is: 1,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.64 : 4,234.36 = 874.56 : x
  2. Step 2: Convert to fraction form
    2,822.64/4,234.36 = 874.56/x
  3. Step 3: Cross multiply
    2,822.64x = 4,234.36 × 874.56
  4. Step 4: Simplify right side
    2,822.64x = 3,703,201.88
  5. Step 5: Solve for x
    x = 3,703,201.88/2,822.64
  6. Step 6: Final answer
    x = 1,311.96

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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.