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Finding the Fourth Proportional to 10,866.38, 16,287.11 and 4,936.88

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Solution

The fourth proportional to 10,866.38, 16,287.11 and 4,936.88 is: 7,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.38 : 16,287.11 = 4,936.88 : x
  2. Step 2: Convert to fraction form
    10,866.38/16,287.11 = 4,936.88/x
  3. Step 3: Cross multiply
    10,866.38x = 16,287.11 × 4,936.88
  4. Step 4: Simplify right side
    10,866.38x = 80,407,401.50
  5. Step 5: Solve for x
    x = 80,407,401.50/10,866.38
  6. Step 6: Final answer
    x = 7,399.65

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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.