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Finding the Fourth Proportional to 18,659.22, 27,983.64 and 6,180.22

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Solution

The fourth proportional to 18,659.22, 27,983.64 and 6,180.22 is: 9,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,659.22 : 27,983.64 = 6,180.22 : x
  2. Step 2: Convert to fraction form
    18,659.22/27,983.64 = 6,180.22/x
  3. Step 3: Cross multiply
    18,659.22x = 27,983.64 × 6,180.22
  4. Step 4: Simplify right side
    18,659.22x = 172,945,020.70
  5. Step 5: Solve for x
    x = 172,945,020.70/18,659.22
  6. Step 6: Final answer
    x = 9,268.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.