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Finding the Fourth Proportional to 13,549.56, 20,318.92 and 5,224.96

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Solution

The fourth proportional to 13,549.56, 20,318.92 and 5,224.96 is: 7,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.56 : 20,318.92 = 5,224.96 : x
  2. Step 2: Convert to fraction form
    13,549.56/20,318.92 = 5,224.96/x
  3. Step 3: Cross multiply
    13,549.56x = 20,318.92 × 5,224.96
  4. Step 4: Simplify right side
    13,549.56x = 106,165,544.24
  5. Step 5: Solve for x
    x = 106,165,544.24/13,549.56
  6. Step 6: Final answer
    x = 7,835.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.