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Finding the Fourth Proportional to 7,711.86, 11,568.51 and 3,553.02

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Solution

The fourth proportional to 7,711.86, 11,568.51 and 3,553.02 is: 5,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.86 : 11,568.51 = 3,553.02 : x
  2. Step 2: Convert to fraction form
    7,711.86/11,568.51 = 3,553.02/x
  3. Step 3: Cross multiply
    7,711.86x = 11,568.51 × 3,553.02
  4. Step 4: Simplify right side
    7,711.86x = 41,103,147.40
  5. Step 5: Solve for x
    x = 41,103,147.40/7,711.86
  6. Step 6: Final answer
    x = 5,329.86

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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.