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Finding the Fourth Proportional to 12,156, 18,234.54 and 3,838.92

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Solution

The fourth proportional to 12,156, 18,234.54 and 3,838.92 is: 5,758.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156 : 18,234.54 = 3,838.92 : x
  2. Step 2: Convert to fraction form
    12,156/18,234.54 = 3,838.92/x
  3. Step 3: Cross multiply
    12,156x = 18,234.54 × 3,838.92
  4. Step 4: Simplify right side
    12,156x = 70,000,940.30
  5. Step 5: Solve for x
    x = 70,000,940.30/12,156
  6. Step 6: Final answer
    x = 5,758.55

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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.