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Finding the Fourth Proportional to 7,211, 10,797.06 and 4,086.42

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Solution

The fourth proportional to 7,211, 10,797.06 and 4,086.42 is: 6,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211 : 10,797.06 = 4,086.42 : x
  2. Step 2: Convert to fraction form
    7,211/10,797.06 = 4,086.42/x
  3. Step 3: Cross multiply
    7,211x = 10,797.06 × 4,086.42
  4. Step 4: Simplify right side
    7,211x = 44,121,321.93
  5. Step 5: Solve for x
    x = 44,121,321.93/7,211
  6. Step 6: Final answer
    x = 6,118.61

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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.