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Finding the Fourth Proportional to 5,274.80, 7,906.80 and 3,082.40

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Solution

The fourth proportional to 5,274.80, 7,906.80 and 3,082.40 is: 4,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.80 : 7,906.80 = 3,082.40 : x
  2. Step 2: Convert to fraction form
    5,274.80/7,906.80 = 3,082.40/x
  3. Step 3: Cross multiply
    5,274.80x = 7,906.80 × 3,082.40
  4. Step 4: Simplify right side
    5,274.80x = 24,371,920.32
  5. Step 5: Solve for x
    x = 24,371,920.32/5,274.80
  6. Step 6: Final answer
    x = 4,620.44

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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.