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Finding the Fourth Proportional to 18,538.72, 27,811.80 and 8,150.48

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Solution

The fourth proportional to 18,538.72, 27,811.80 and 8,150.48 is: 12,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.72 : 27,811.80 = 8,150.48 : x
  2. Step 2: Convert to fraction form
    18,538.72/27,811.80 = 8,150.48/x
  3. Step 3: Cross multiply
    18,538.72x = 27,811.80 × 8,150.48
  4. Step 4: Simplify right side
    18,538.72x = 226,679,519.66
  5. Step 5: Solve for x
    x = 226,679,519.66/18,538.72
  6. Step 6: Final answer
    x = 12,227.36

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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.