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Finding the Fourth Proportional to 12,295.89, 18,397.13 and 7,469.37

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Solution

The fourth proportional to 12,295.89, 18,397.13 and 7,469.37 is: 11,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.89 : 18,397.13 = 7,469.37 : x
  2. Step 2: Convert to fraction form
    12,295.89/18,397.13 = 7,469.37/x
  3. Step 3: Cross multiply
    12,295.89x = 18,397.13 × 7,469.37
  4. Step 4: Simplify right side
    12,295.89x = 137,414,933.56
  5. Step 5: Solve for x
    x = 137,414,933.56/12,295.89
  6. Step 6: Final answer
    x = 11,175.68

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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.