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Finding the Fourth Proportional to 13,616.24, 18,792.45 and 8,314.11

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Solution

The fourth proportional to 13,616.24, 18,792.45 and 8,314.11 is: 11,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.24 : 18,792.45 = 8,314.11 : x
  2. Step 2: Convert to fraction form
    13,616.24/18,792.45 = 8,314.11/x
  3. Step 3: Cross multiply
    13,616.24x = 18,792.45 × 8,314.11
  4. Step 4: Simplify right side
    13,616.24x = 156,242,496.47
  5. Step 5: Solve for x
    x = 156,242,496.47/13,616.24
  6. Step 6: Final answer
    x = 11,474.72

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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.