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Finding the Fourth Proportional to 3,274.66, 4,911.11 and 1,082.80

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Solution

The fourth proportional to 3,274.66, 4,911.11 and 1,082.80 is: 1,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.66 : 4,911.11 = 1,082.80 : x
  2. Step 2: Convert to fraction form
    3,274.66/4,911.11 = 1,082.80/x
  3. Step 3: Cross multiply
    3,274.66x = 4,911.11 × 1,082.80
  4. Step 4: Simplify right side
    3,274.66x = 5,317,719.94
  5. Step 5: Solve for x
    x = 5,317,719.94/3,274.66
  6. Step 6: Final answer
    x = 1,623.90

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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.