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Finding the Fourth Proportional to 20,156, 30,234 and 7,844

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Solution

The fourth proportional to 20,156, 30,234 and 7,844 is: 11,766

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156 : 30,234 = 7,844 : x
  2. Step 2: Convert to fraction form
    20,156/30,234 = 7,844/x
  3. Step 3: Cross multiply
    20,156x = 30,234 × 7,844
  4. Step 4: Simplify right side
    20,156x = 237,155,496
  5. Step 5: Solve for x
    x = 237,155,496/20,156
  6. Step 6: Final answer
    x = 11,766

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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.