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Finding the Fourth Proportional to 8,450, 12,675 and 2,978

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Solution

The fourth proportional to 8,450, 12,675 and 2,978 is: 4,467

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450 : 12,675 = 2,978 : x
  2. Step 2: Convert to fraction form
    8,450/12,675 = 2,978/x
  3. Step 3: Cross multiply
    8,450x = 12,675 × 2,978
  4. Step 4: Simplify right side
    8,450x = 37,746,150
  5. Step 5: Solve for x
    x = 37,746,150/8,450
  6. Step 6: Final answer
    x = 4,467

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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.