Home / 2,770.78-4,159.80-1,949.44

Finding the Fourth Proportional to 2,770.78, 4,159.80 and 1,949.44

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Solution

The fourth proportional to 2,770.78, 4,159.80 and 1,949.44 is: 2,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.78 : 4,159.80 = 1,949.44 : x
  2. Step 2: Convert to fraction form
    2,770.78/4,159.80 = 1,949.44/x
  3. Step 3: Cross multiply
    2,770.78x = 4,159.80 × 1,949.44
  4. Step 4: Simplify right side
    2,770.78x = 8,109,280.51
  5. Step 5: Solve for x
    x = 8,109,280.51/2,770.78
  6. Step 6: Final answer
    x = 2,926.71

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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.