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Finding the Fourth Proportional to 27,942.90, 41,910.30 and 8,219.40

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Solution

The fourth proportional to 27,942.90, 41,910.30 and 8,219.40 is: 12,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942.90 : 41,910.30 = 8,219.40 : x
  2. Step 2: Convert to fraction form
    27,942.90/41,910.30 = 8,219.40/x
  3. Step 3: Cross multiply
    27,942.90x = 41,910.30 × 8,219.40
  4. Step 4: Simplify right side
    27,942.90x = 344,477,519.82
  5. Step 5: Solve for x
    x = 344,477,519.82/27,942.90
  6. Step 6: Final answer
    x = 12,327.91

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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.