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Finding the Fourth Proportional to 9,989.91, 13,791.60 and 6,012

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Solution

The fourth proportional to 9,989.91, 13,791.60 and 6,012 is: 8,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.91 : 13,791.60 = 6,012 : x
  2. Step 2: Convert to fraction form
    9,989.91/13,791.60 = 6,012/x
  3. Step 3: Cross multiply
    9,989.91x = 13,791.60 × 6,012
  4. Step 4: Simplify right side
    9,989.91x = 82,915,099.20
  5. Step 5: Solve for x
    x = 82,915,099.20/9,989.91
  6. Step 6: Final answer
    x = 8,299.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.