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Finding the Fourth Proportional to 7,321.86, 10,984.14 and 2,939.22

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Solution

The fourth proportional to 7,321.86, 10,984.14 and 2,939.22 is: 4,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.86 : 10,984.14 = 2,939.22 : x
  2. Step 2: Convert to fraction form
    7,321.86/10,984.14 = 2,939.22/x
  3. Step 3: Cross multiply
    7,321.86x = 10,984.14 × 2,939.22
  4. Step 4: Simplify right side
    7,321.86x = 32,284,803.97
  5. Step 5: Solve for x
    x = 32,284,803.97/7,321.86
  6. Step 6: Final answer
    x = 4,409.37

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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.