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Finding the Fourth Proportional to 7,882.91, 11,828.97 and 4,375.87

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Solution

The fourth proportional to 7,882.91, 11,828.97 and 4,375.87 is: 6,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.91 : 11,828.97 = 4,375.87 : x
  2. Step 2: Convert to fraction form
    7,882.91/11,828.97 = 4,375.87/x
  3. Step 3: Cross multiply
    7,882.91x = 11,828.97 × 4,375.87
  4. Step 4: Simplify right side
    7,882.91x = 51,762,034.95
  5. Step 5: Solve for x
    x = 51,762,034.95/7,882.91
  6. Step 6: Final answer
    x = 6,566.36

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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.