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Finding the Fourth Proportional to 12,164, 18,246 and 3,956

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Solution

The fourth proportional to 12,164, 18,246 and 3,956 is: 5,934

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164 : 18,246 = 3,956 : x
  2. Step 2: Convert to fraction form
    12,164/18,246 = 3,956/x
  3. Step 3: Cross multiply
    12,164x = 18,246 × 3,956
  4. Step 4: Simplify right side
    12,164x = 72,181,176
  5. Step 5: Solve for x
    x = 72,181,176/12,164
  6. Step 6: Final answer
    x = 5,934

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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.