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Finding the Fourth Proportional to 13,500.14, 18,626.94 and 8,193.96

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Solution

The fourth proportional to 13,500.14, 18,626.94 and 8,193.96 is: 11,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.14 : 18,626.94 = 8,193.96 : x
  2. Step 2: Convert to fraction form
    13,500.14/18,626.94 = 8,193.96/x
  3. Step 3: Cross multiply
    13,500.14x = 18,626.94 × 8,193.96
  4. Step 4: Simplify right side
    13,500.14x = 152,628,401.28
  5. Step 5: Solve for x
    x = 152,628,401.28/13,500.14
  6. Step 6: Final answer
    x = 11,305.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.