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Finding the Fourth Proportional to 13,063.39, 18,028.10 and 8,027.82

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Solution

The fourth proportional to 13,063.39, 18,028.10 and 8,027.82 is: 11,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,063.39 : 18,028.10 = 8,027.82 : x
  2. Step 2: Convert to fraction form
    13,063.39/18,028.10 = 8,027.82/x
  3. Step 3: Cross multiply
    13,063.39x = 18,028.10 × 8,027.82
  4. Step 4: Simplify right side
    13,063.39x = 144,726,361.81
  5. Step 5: Solve for x
    x = 144,726,361.81/13,063.39
  6. Step 6: Final answer
    x = 11,078.78

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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.