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Finding the Fourth Proportional to 7,321.86, 10,104.14 and 3,964.66

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Solution

The fourth proportional to 7,321.86, 10,104.14 and 3,964.66 is: 5,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.86 : 10,104.14 = 3,964.66 : x
  2. Step 2: Convert to fraction form
    7,321.86/10,104.14 = 3,964.66/x
  3. Step 3: Cross multiply
    7,321.86x = 10,104.14 × 3,964.66
  4. Step 4: Simplify right side
    7,321.86x = 40,059,479.69
  5. Step 5: Solve for x
    x = 40,059,479.69/7,321.86
  6. Step 6: Final answer
    x = 5,471.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.