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Finding the Fourth Proportional to 3,278.70, 4,919.03 and 3,082.88

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Solution

The fourth proportional to 3,278.70, 4,919.03 and 3,082.88 is: 4,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.70 : 4,919.03 = 3,082.88 : x
  2. Step 2: Convert to fraction form
    3,278.70/4,919.03 = 3,082.88/x
  3. Step 3: Cross multiply
    3,278.70x = 4,919.03 × 3,082.88
  4. Step 4: Simplify right side
    3,278.70x = 15,164,772.06
  5. Step 5: Solve for x
    x = 15,164,772.06/3,278.70
  6. Step 6: Final answer
    x = 4,625.24

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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.