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Finding the Fourth Proportional to 2,847, 4,270 and 767.15

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Solution

The fourth proportional to 2,847, 4,270 and 767.15 is: 1,150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847 : 4,270 = 767.15 : x
  2. Step 2: Convert to fraction form
    2,847/4,270 = 767.15/x
  3. Step 3: Cross multiply
    2,847x = 4,270 × 767.15
  4. Step 4: Simplify right side
    2,847x = 3,275,730.50
  5. Step 5: Solve for x
    x = 3,275,730.50/2,847
  6. Step 6: Final answer
    x = 1,150.59

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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.