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Finding the Fourth Proportional to 11,912.63, 17,846.38 and 7,951.94

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Solution

The fourth proportional to 11,912.63, 17,846.38 and 7,951.94 is: 11,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.63 : 17,846.38 = 7,951.94 : x
  2. Step 2: Convert to fraction form
    11,912.63/17,846.38 = 7,951.94/x
  3. Step 3: Cross multiply
    11,912.63x = 17,846.38 × 7,951.94
  4. Step 4: Simplify right side
    11,912.63x = 141,913,340.55
  5. Step 5: Solve for x
    x = 141,913,340.55/11,912.63
  6. Step 6: Final answer
    x = 11,912.85

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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.