Home / 2,771.78-3,819.80-1,984.46

Finding the Fourth Proportional to 2,771.78, 3,819.80 and 1,984.46

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Solution

The fourth proportional to 2,771.78, 3,819.80 and 1,984.46 is: 2,734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.78 : 3,819.80 = 1,984.46 : x
  2. Step 2: Convert to fraction form
    2,771.78/3,819.80 = 1,984.46/x
  3. Step 3: Cross multiply
    2,771.78x = 3,819.80 × 1,984.46
  4. Step 4: Simplify right side
    2,771.78x = 7,580,230.39
  5. Step 5: Solve for x
    x = 7,580,230.39/2,771.78
  6. Step 6: Final answer
    x = 2,734.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.