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Finding the Fourth Proportional to 12,504.78, 18,770.39 and 12,222.42

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Solution

The fourth proportional to 12,504.78, 18,770.39 and 12,222.42 is: 18,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.78 : 18,770.39 = 12,222.42 : x
  2. Step 2: Convert to fraction form
    12,504.78/18,770.39 = 12,222.42/x
  3. Step 3: Cross multiply
    12,504.78x = 18,770.39 × 12,222.42
  4. Step 4: Simplify right side
    12,504.78x = 229,419,458.64
  5. Step 5: Solve for x
    x = 229,419,458.64/12,504.78
  6. Step 6: Final answer
    x = 18,346.54

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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.