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Finding the Fourth Proportional to 1,847.60, 2,768.66 and 806.65

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Solution

The fourth proportional to 1,847.60, 2,768.66 and 806.65 is: 1,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.60 : 2,768.66 = 806.65 : x
  2. Step 2: Convert to fraction form
    1,847.60/2,768.66 = 806.65/x
  3. Step 3: Cross multiply
    1,847.60x = 2,768.66 × 806.65
  4. Step 4: Simplify right side
    1,847.60x = 2,233,339.59
  5. Step 5: Solve for x
    x = 2,233,339.59/1,847.60
  6. Step 6: Final answer
    x = 1,208.78

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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.