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Finding the Fourth Proportional to 8,107.80, 11,187.94 and 5,984.49

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Solution

The fourth proportional to 8,107.80, 11,187.94 and 5,984.49 is: 8,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.80 : 11,187.94 = 5,984.49 : x
  2. Step 2: Convert to fraction form
    8,107.80/11,187.94 = 5,984.49/x
  3. Step 3: Cross multiply
    8,107.80x = 11,187.94 × 5,984.49
  4. Step 4: Simplify right side
    8,107.80x = 66,954,115.05
  5. Step 5: Solve for x
    x = 66,954,115.05/8,107.80
  6. Step 6: Final answer
    x = 8,257.99

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1.5x scale

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.