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Finding the Fourth Proportional to 19,882.44, 29,805.84 and 8,188.20

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Solution

The fourth proportional to 19,882.44, 29,805.84 and 8,188.20 is: 12,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.44 : 29,805.84 = 8,188.20 : x
  2. Step 2: Convert to fraction form
    19,882.44/29,805.84 = 8,188.20/x
  3. Step 3: Cross multiply
    19,882.44x = 29,805.84 × 8,188.20
  4. Step 4: Simplify right side
    19,882.44x = 244,056,179.09
  5. Step 5: Solve for x
    x = 244,056,179.09/19,882.44
  6. Step 6: Final answer
    x = 12,274.96

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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.