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Finding the Fourth Proportional to 7,882.83, 11,818.78 and 3,719.33

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Solution

The fourth proportional to 7,882.83, 11,818.78 and 3,719.33 is: 5,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.83 : 11,818.78 = 3,719.33 : x
  2. Step 2: Convert to fraction form
    7,882.83/11,818.78 = 3,719.33/x
  3. Step 3: Cross multiply
    7,882.83x = 11,818.78 × 3,719.33
  4. Step 4: Simplify right side
    7,882.83x = 43,957,918.95
  5. Step 5: Solve for x
    x = 43,957,918.95/7,882.83
  6. Step 6: Final answer
    x = 5,576.41

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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.