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Finding the Fourth Proportional to 12,179, 18,269.22 and 3,971

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Solution

The fourth proportional to 12,179, 18,269.22 and 3,971 is: 5,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179 : 18,269.22 = 3,971 : x
  2. Step 2: Convert to fraction form
    12,179/18,269.22 = 3,971/x
  3. Step 3: Cross multiply
    12,179x = 18,269.22 × 3,971
  4. Step 4: Simplify right side
    12,179x = 72,547,072.62
  5. Step 5: Solve for x
    x = 72,547,072.62/12,179
  6. Step 6: Final answer
    x = 5,956.73

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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.