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Finding the Fourth Proportional to 8,107.69, 11,189.25 and 4,523.78

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Solution

The fourth proportional to 8,107.69, 11,189.25 and 4,523.78 is: 6,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.69 : 11,189.25 = 4,523.78 : x
  2. Step 2: Convert to fraction form
    8,107.69/11,189.25 = 4,523.78/x
  3. Step 3: Cross multiply
    8,107.69x = 11,189.25 × 4,523.78
  4. Step 4: Simplify right side
    8,107.69x = 50,617,626.80
  5. Step 5: Solve for x
    x = 50,617,626.80/8,107.69
  6. Step 6: Final answer
    x = 6,243.16

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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.