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Finding the Fourth Proportional to 10,163.38, 14,028.16 and 9,543.82

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Solution

The fourth proportional to 10,163.38, 14,028.16 and 9,543.82 is: 13,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.38 : 14,028.16 = 9,543.82 : x
  2. Step 2: Convert to fraction form
    10,163.38/14,028.16 = 9,543.82/x
  3. Step 3: Cross multiply
    10,163.38x = 14,028.16 × 9,543.82
  4. Step 4: Simplify right side
    10,163.38x = 133,882,233.97
  5. Step 5: Solve for x
    x = 133,882,233.97/10,163.38
  6. Step 6: Final answer
    x = 13,173.00

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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.