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Finding the Fourth Proportional to 8,196.36, 11,311.17 and 4,839.99

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Solution

The fourth proportional to 8,196.36, 11,311.17 and 4,839.99 is: 6,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.36 : 11,311.17 = 4,839.99 : x
  2. Step 2: Convert to fraction form
    8,196.36/11,311.17 = 4,839.99/x
  3. Step 3: Cross multiply
    8,196.36x = 11,311.17 × 4,839.99
  4. Step 4: Simplify right side
    8,196.36x = 54,745,949.69
  5. Step 5: Solve for x
    x = 54,745,949.69/8,196.36
  6. Step 6: Final answer
    x = 6,679.30

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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.