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Finding the Fourth Proportional to 6,684.80, 10,027.84 and 2,788.80

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Solution

The fourth proportional to 6,684.80, 10,027.84 and 2,788.80 is: 4,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.80 : 10,027.84 = 2,788.80 : x
  2. Step 2: Convert to fraction form
    6,684.80/10,027.84 = 2,788.80/x
  3. Step 3: Cross multiply
    6,684.80x = 10,027.84 × 2,788.80
  4. Step 4: Simplify right side
    6,684.80x = 27,965,640.19
  5. Step 5: Solve for x
    x = 27,965,640.19/6,684.80
  6. Step 6: Final answer
    x = 4,183.47

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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.