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Finding the Fourth Proportional to 19,997.28, 29,995.88 and 8,156

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Solution

The fourth proportional to 19,997.28, 29,995.88 and 8,156 is: 12,233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.28 : 29,995.88 = 8,156 : x
  2. Step 2: Convert to fraction form
    19,997.28/29,995.88 = 8,156/x
  3. Step 3: Cross multiply
    19,997.28x = 29,995.88 × 8,156
  4. Step 4: Simplify right side
    19,997.28x = 244,646,397.28
  5. Step 5: Solve for x
    x = 244,646,397.28/19,997.28
  6. Step 6: Final answer
    x = 12,233.98

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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.