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Finding the Fourth Proportional to 11,919, 17,878.50 and 8,167.08

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Solution

The fourth proportional to 11,919, 17,878.50 and 8,167.08 is: 12,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919 : 17,878.50 = 8,167.08 : x
  2. Step 2: Convert to fraction form
    11,919/17,878.50 = 8,167.08/x
  3. Step 3: Cross multiply
    11,919x = 17,878.50 × 8,167.08
  4. Step 4: Simplify right side
    11,919x = 146,015,139.78
  5. Step 5: Solve for x
    x = 146,015,139.78/11,919
  6. Step 6: Final answer
    x = 12,250.62

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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.