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Finding the Fourth Proportional to 11,960.96, 17,945.04 and 6,121.64

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Solution

The fourth proportional to 11,960.96, 17,945.04 and 6,121.64 is: 9,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.96 : 17,945.04 = 6,121.64 : x
  2. Step 2: Convert to fraction form
    11,960.96/17,945.04 = 6,121.64/x
  3. Step 3: Cross multiply
    11,960.96x = 17,945.04 × 6,121.64
  4. Step 4: Simplify right side
    11,960.96x = 109,853,074.67
  5. Step 5: Solve for x
    x = 109,853,074.67/11,960.96
  6. Step 6: Final answer
    x = 9,184.30

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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.