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Finding the Fourth Proportional to 13,469.76, 18,581.13 and 8,163.54

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Solution

The fourth proportional to 13,469.76, 18,581.13 and 8,163.54 is: 11,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.76 : 18,581.13 = 8,163.54 : x
  2. Step 2: Convert to fraction form
    13,469.76/18,581.13 = 8,163.54/x
  3. Step 3: Cross multiply
    13,469.76x = 18,581.13 × 8,163.54
  4. Step 4: Simplify right side
    13,469.76x = 151,687,798.00
  5. Step 5: Solve for x
    x = 151,687,798.00/13,469.76
  6. Step 6: Final answer
    x = 11,261.36

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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.