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Finding the Fourth Proportional to 7,668.75, 11,505.83 and 3,775.89

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Solution

The fourth proportional to 7,668.75, 11,505.83 and 3,775.89 is: 5,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.75 : 11,505.83 = 3,775.89 : x
  2. Step 2: Convert to fraction form
    7,668.75/11,505.83 = 3,775.89/x
  3. Step 3: Cross multiply
    7,668.75x = 11,505.83 × 3,775.89
  4. Step 4: Simplify right side
    7,668.75x = 43,444,729.56
  5. Step 5: Solve for x
    x = 43,444,729.56/7,668.75
  6. Step 6: Final answer
    x = 5,665.16

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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.