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Finding the Fourth Proportional to 6,831, 10,240.18 and 3,318.84

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Solution

The fourth proportional to 6,831, 10,240.18 and 3,318.84 is: 4,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 10,240.18 = 3,318.84 : x
  2. Step 2: Convert to fraction form
    6,831/10,240.18 = 3,318.84/x
  3. Step 3: Cross multiply
    6,831x = 10,240.18 × 3,318.84
  4. Step 4: Simplify right side
    6,831x = 33,985,518.99
  5. Step 5: Solve for x
    x = 33,985,518.99/6,831
  6. Step 6: Final answer
    x = 4,975.19

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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.