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Finding the Fourth Proportional to 18,382.30, 27,584.80 and 8,519.74

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Solution

The fourth proportional to 18,382.30, 27,584.80 and 8,519.74 is: 12,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382.30 : 27,584.80 = 8,519.74 : x
  2. Step 2: Convert to fraction form
    18,382.30/27,584.80 = 8,519.74/x
  3. Step 3: Cross multiply
    18,382.30x = 27,584.80 × 8,519.74
  4. Step 4: Simplify right side
    18,382.30x = 235,015,323.95
  5. Step 5: Solve for x
    x = 235,015,323.95/18,382.30
  6. Step 6: Final answer
    x = 12,784.87

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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.