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Finding the Fourth Proportional to 12,154, 18,231 and 3,946

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Solution

The fourth proportional to 12,154, 18,231 and 3,946 is: 5,919

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154 : 18,231 = 3,946 : x
  2. Step 2: Convert to fraction form
    12,154/18,231 = 3,946/x
  3. Step 3: Cross multiply
    12,154x = 18,231 × 3,946
  4. Step 4: Simplify right side
    12,154x = 71,939,526
  5. Step 5: Solve for x
    x = 71,939,526/12,154
  6. Step 6: Final answer
    x = 5,919

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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.