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Finding the Fourth Proportional to 8,682.84, 13,020.84 and 2,757.60

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Solution

The fourth proportional to 8,682.84, 13,020.84 and 2,757.60 is: 4,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.84 : 13,020.84 = 2,757.60 : x
  2. Step 2: Convert to fraction form
    8,682.84/13,020.84 = 2,757.60/x
  3. Step 3: Cross multiply
    8,682.84x = 13,020.84 × 2,757.60
  4. Step 4: Simplify right side
    8,682.84x = 35,906,268.38
  5. Step 5: Solve for x
    x = 35,906,268.38/8,682.84
  6. Step 6: Final answer
    x = 4,135.31

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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.