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Finding the Fourth Proportional to 18,134.82, 27,196.74 and 6,447.42

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Solution

The fourth proportional to 18,134.82, 27,196.74 and 6,447.42 is: 9,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,134.82 : 27,196.74 = 6,447.42 : x
  2. Step 2: Convert to fraction form
    18,134.82/27,196.74 = 6,447.42/x
  3. Step 3: Cross multiply
    18,134.82x = 27,196.74 × 6,447.42
  4. Step 4: Simplify right side
    18,134.82x = 175,348,805.41
  5. Step 5: Solve for x
    x = 175,348,805.41/18,134.82
  6. Step 6: Final answer
    x = 9,669.18

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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.