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Finding the Fourth Proportional to 2,822.70, 4,234.01 and 874.90

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Solution

The fourth proportional to 2,822.70, 4,234.01 and 874.90 is: 1,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.70 : 4,234.01 = 874.90 : x
  2. Step 2: Convert to fraction form
    2,822.70/4,234.01 = 874.90/x
  3. Step 3: Cross multiply
    2,822.70x = 4,234.01 × 874.90
  4. Step 4: Simplify right side
    2,822.70x = 3,704,339.96
  5. Step 5: Solve for x
    x = 3,704,339.96/2,822.70
  6. Step 6: Final answer
    x = 1,312.34

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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.