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Finding the Fourth Proportional to 7,668.83, 11,505.32 and 2,738.86

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Solution

The fourth proportional to 7,668.83, 11,505.32 and 2,738.86 is: 4,109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.83 : 11,505.32 = 2,738.86 : x
  2. Step 2: Convert to fraction form
    7,668.83/11,505.32 = 2,738.86/x
  3. Step 3: Cross multiply
    7,668.83x = 11,505.32 × 2,738.86
  4. Step 4: Simplify right side
    7,668.83x = 31,511,485.56
  5. Step 5: Solve for x
    x = 31,511,485.56/7,668.83
  6. Step 6: Final answer
    x = 4,109.04

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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.