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Finding the Fourth Proportional to 13,163.22, 18,164.94 and 7,194.92

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Solution

The fourth proportional to 13,163.22, 18,164.94 and 7,194.92 is: 9,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.22 : 18,164.94 = 7,194.92 : x
  2. Step 2: Convert to fraction form
    13,163.22/18,164.94 = 7,194.92/x
  3. Step 3: Cross multiply
    13,163.22x = 18,164.94 × 7,194.92
  4. Step 4: Simplify right side
    13,163.22x = 130,695,290.10
  5. Step 5: Solve for x
    x = 130,695,290.10/13,163.22
  6. Step 6: Final answer
    x = 9,928.82

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Double scale
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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.