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Finding the Fourth Proportional to 13,162.77, 18,164.64 and 7,194.44

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Solution

The fourth proportional to 13,162.77, 18,164.64 and 7,194.44 is: 9,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.77 : 18,164.64 = 7,194.44 : x
  2. Step 2: Convert to fraction form
    13,162.77/18,164.64 = 7,194.44/x
  3. Step 3: Cross multiply
    13,162.77x = 18,164.64 × 7,194.44
  4. Step 4: Simplify right side
    13,162.77x = 130,684,321.78
  5. Step 5: Solve for x
    x = 130,684,321.78/13,162.77
  6. Step 6: Final answer
    x = 9,928.33

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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.