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Finding the Fourth Proportional to 12,163.68, 18,245.94 and 10,420.46

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Solution

The fourth proportional to 12,163.68, 18,245.94 and 10,420.46 is: 15,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.68 : 18,245.94 = 10,420.46 : x
  2. Step 2: Convert to fraction form
    12,163.68/18,245.94 = 10,420.46/x
  3. Step 3: Cross multiply
    12,163.68x = 18,245.94 × 10,420.46
  4. Step 4: Simplify right side
    12,163.68x = 190,131,087.93
  5. Step 5: Solve for x
    x = 190,131,087.93/12,163.68
  6. Step 6: Final answer
    x = 15,631.05

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1.5x scale

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.