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Finding the Fourth Proportional to 18,045, 27,067.90 and 6,198.76

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Solution

The fourth proportional to 18,045, 27,067.90 and 6,198.76 is: 9,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,045 : 27,067.90 = 6,198.76 : x
  2. Step 2: Convert to fraction form
    18,045/27,067.90 = 6,198.76/x
  3. Step 3: Cross multiply
    18,045x = 27,067.90 × 6,198.76
  4. Step 4: Simplify right side
    18,045x = 167,787,415.80
  5. Step 5: Solve for x
    x = 167,787,415.80/18,045
  6. Step 6: Final answer
    x = 9,298.28

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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.