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Finding the Fourth Proportional to 13,382.37, 18,467.81 and 7,414.11

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Solution

The fourth proportional to 13,382.37, 18,467.81 and 7,414.11 is: 10,231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.37 : 18,467.81 = 7,414.11 : x
  2. Step 2: Convert to fraction form
    13,382.37/18,467.81 = 7,414.11/x
  3. Step 3: Cross multiply
    13,382.37x = 18,467.81 × 7,414.11
  4. Step 4: Simplify right side
    13,382.37x = 136,922,337.73
  5. Step 5: Solve for x
    x = 136,922,337.73/13,382.37
  6. Step 6: Final answer
    x = 10,231.55

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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.