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Finding the Fourth Proportional to 11,310, 16,965 and 3,912.47

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Solution

The fourth proportional to 11,310, 16,965 and 3,912.47 is: 5,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310 : 16,965 = 3,912.47 : x
  2. Step 2: Convert to fraction form
    11,310/16,965 = 3,912.47/x
  3. Step 3: Cross multiply
    11,310x = 16,965 × 3,912.47
  4. Step 4: Simplify right side
    11,310x = 66,375,095.96
  5. Step 5: Solve for x
    x = 66,375,095.96/11,310
  6. Step 6: Final answer
    x = 5,868.71

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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.