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Finding the Fourth Proportional to 6,831, 10,247.97 and 3,870.84

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Solution

The fourth proportional to 6,831, 10,247.97 and 3,870.84 is: 5,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 10,247.97 = 3,870.84 : x
  2. Step 2: Convert to fraction form
    6,831/10,247.97 = 3,870.84/x
  3. Step 3: Cross multiply
    6,831x = 10,247.97 × 3,870.84
  4. Step 4: Simplify right side
    6,831x = 39,668,252.19
  5. Step 5: Solve for x
    x = 39,668,252.19/6,831
  6. Step 6: Final answer
    x = 5,807.09

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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.