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Finding the Fourth Proportional to 7,324.86, 10,990.38 and 3,815.78

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Solution

The fourth proportional to 7,324.86, 10,990.38 and 3,815.78 is: 5,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.86 : 10,990.38 = 3,815.78 : x
  2. Step 2: Convert to fraction form
    7,324.86/10,990.38 = 3,815.78/x
  3. Step 3: Cross multiply
    7,324.86x = 10,990.38 × 3,815.78
  4. Step 4: Simplify right side
    7,324.86x = 41,936,831.55
  5. Step 5: Solve for x
    x = 41,936,831.55/7,324.86
  6. Step 6: Final answer
    x = 5,725.27

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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.