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Finding the Fourth Proportional to 11,951.89, 17,932.88 and 6,403.75

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Solution

The fourth proportional to 11,951.89, 17,932.88 and 6,403.75 is: 9,608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.89 : 17,932.88 = 6,403.75 : x
  2. Step 2: Convert to fraction form
    11,951.89/17,932.88 = 6,403.75/x
  3. Step 3: Cross multiply
    11,951.89x = 17,932.88 × 6,403.75
  4. Step 4: Simplify right side
    11,951.89x = 114,837,680.30
  5. Step 5: Solve for x
    x = 114,837,680.30/11,951.89
  6. Step 6: Final answer
    x = 9,608.33

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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.