Home / 2,119.05-3,176.64-819.54

Finding the Fourth Proportional to 2,119.05, 3,176.64 and 819.54

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Solution

The fourth proportional to 2,119.05, 3,176.64 and 819.54 is: 1,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.05 : 3,176.64 = 819.54 : x
  2. Step 2: Convert to fraction form
    2,119.05/3,176.64 = 819.54/x
  3. Step 3: Cross multiply
    2,119.05x = 3,176.64 × 819.54
  4. Step 4: Simplify right side
    2,119.05x = 2,603,383.55
  5. Step 5: Solve for x
    x = 2,603,383.55/2,119.05
  6. Step 6: Final answer
    x = 1,228.56

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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.