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Finding the Fourth Proportional to 10,662.09, 15,993 and 4,814.61

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Solution

The fourth proportional to 10,662.09, 15,993 and 4,814.61 is: 7,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.09 : 15,993 = 4,814.61 : x
  2. Step 2: Convert to fraction form
    10,662.09/15,993 = 4,814.61/x
  3. Step 3: Cross multiply
    10,662.09x = 15,993 × 4,814.61
  4. Step 4: Simplify right side
    10,662.09x = 77,000,057.73
  5. Step 5: Solve for x
    x = 77,000,057.73/10,662.09
  6. Step 6: Final answer
    x = 7,221.85

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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.