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Finding the Fourth Proportional to 1,819.87, 2,727.69 and 778.31

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Solution

The fourth proportional to 1,819.87, 2,727.69 and 778.31 is: 1,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.87 : 2,727.69 = 778.31 : x
  2. Step 2: Convert to fraction form
    1,819.87/2,727.69 = 778.31/x
  3. Step 3: Cross multiply
    1,819.87x = 2,727.69 × 778.31
  4. Step 4: Simplify right side
    1,819.87x = 2,122,986.45
  5. Step 5: Solve for x
    x = 2,122,986.45/1,819.87
  6. Step 6: Final answer
    x = 1,166.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.