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Finding the Fourth Proportional to 18,573.67, 27,867.80 and 8,178.13

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Solution

The fourth proportional to 18,573.67, 27,867.80 and 8,178.13 is: 12,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,573.67 : 27,867.80 = 8,178.13 : x
  2. Step 2: Convert to fraction form
    18,573.67/27,867.80 = 8,178.13/x
  3. Step 3: Cross multiply
    18,573.67x = 27,867.80 × 8,178.13
  4. Step 4: Simplify right side
    18,573.67x = 227,906,310.98
  5. Step 5: Solve for x
    x = 227,906,310.98/18,573.67
  6. Step 6: Final answer
    x = 12,270.40

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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.