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Finding the Fourth Proportional to 10,401, 15,601.50 and 4,163.82

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Solution

The fourth proportional to 10,401, 15,601.50 and 4,163.82 is: 6,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401 : 15,601.50 = 4,163.82 : x
  2. Step 2: Convert to fraction form
    10,401/15,601.50 = 4,163.82/x
  3. Step 3: Cross multiply
    10,401x = 15,601.50 × 4,163.82
  4. Step 4: Simplify right side
    10,401x = 64,961,837.73
  5. Step 5: Solve for x
    x = 64,961,837.73/10,401
  6. Step 6: Final answer
    x = 6,245.73

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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.