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Finding the Fourth Proportional to 8,196.84, 11,311.86 and 4,839.34

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Solution

The fourth proportional to 8,196.84, 11,311.86 and 4,839.34 is: 6,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.84 : 11,311.86 = 4,839.34 : x
  2. Step 2: Convert to fraction form
    8,196.84/11,311.86 = 4,839.34/x
  3. Step 3: Cross multiply
    8,196.84x = 11,311.86 × 4,839.34
  4. Step 4: Simplify right side
    8,196.84x = 54,741,936.57
  5. Step 5: Solve for x
    x = 54,741,936.57/8,196.84
  6. Step 6: Final answer
    x = 6,678.42

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