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Finding the Fourth Proportional to 8,163.72, 11,288.97 and 6,618.24

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Solution

The fourth proportional to 8,163.72, 11,288.97 and 6,618.24 is: 9,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.72 : 11,288.97 = 6,618.24 : x
  2. Step 2: Convert to fraction form
    8,163.72/11,288.97 = 6,618.24/x
  3. Step 3: Cross multiply
    8,163.72x = 11,288.97 × 6,618.24
  4. Step 4: Simplify right side
    8,163.72x = 74,713,112.81
  5. Step 5: Solve for x
    x = 74,713,112.81/8,163.72
  6. Step 6: Final answer
    x = 9,151.85

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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.