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Finding the Fourth Proportional to 6,517.28, 8,994 and 3,722.72

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Solution

The fourth proportional to 6,517.28, 8,994 and 3,722.72 is: 5,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.28 : 8,994 = 3,722.72 : x
  2. Step 2: Convert to fraction form
    6,517.28/8,994 = 3,722.72/x
  3. Step 3: Cross multiply
    6,517.28x = 8,994 × 3,722.72
  4. Step 4: Simplify right side
    6,517.28x = 33,482,143.68
  5. Step 5: Solve for x
    x = 33,482,143.68/6,517.28
  6. Step 6: Final answer
    x = 5,137.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.