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Finding the Fourth Proportional to 1,949.37, 2,922.87 and 779.55

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Solution

The fourth proportional to 1,949.37, 2,922.87 and 779.55 is: 1,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.37 : 2,922.87 = 779.55 : x
  2. Step 2: Convert to fraction form
    1,949.37/2,922.87 = 779.55/x
  3. Step 3: Cross multiply
    1,949.37x = 2,922.87 × 779.55
  4. Step 4: Simplify right side
    1,949.37x = 2,278,523.31
  5. Step 5: Solve for x
    x = 2,278,523.31/1,949.37
  6. Step 6: Final answer
    x = 1,168.85

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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.