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Finding the Fourth Proportional to 2,767.66, 4,150.04 and 819.60

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Solution

The fourth proportional to 2,767.66, 4,150.04 and 819.60 is: 1,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.66 : 4,150.04 = 819.60 : x
  2. Step 2: Convert to fraction form
    2,767.66/4,150.04 = 819.60/x
  3. Step 3: Cross multiply
    2,767.66x = 4,150.04 × 819.60
  4. Step 4: Simplify right side
    2,767.66x = 3,401,372.78
  5. Step 5: Solve for x
    x = 3,401,372.78/2,767.66
  6. Step 6: Final answer
    x = 1,228.97

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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.