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Finding the Fourth Proportional to 7,711.91, 11,578.46 and 3,966.78

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Solution

The fourth proportional to 7,711.91, 11,578.46 and 3,966.78 is: 5,955.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.91 : 11,578.46 = 3,966.78 : x
  2. Step 2: Convert to fraction form
    7,711.91/11,578.46 = 3,966.78/x
  3. Step 3: Cross multiply
    7,711.91x = 11,578.46 × 3,966.78
  4. Step 4: Simplify right side
    7,711.91x = 45,929,161.28
  5. Step 5: Solve for x
    x = 45,929,161.28/7,711.91
  6. Step 6: Final answer
    x = 5,955.62

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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.