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Finding the Fourth Proportional to 13,586.57, 20,375.89 and 5,264.73

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Solution

The fourth proportional to 13,586.57, 20,375.89 and 5,264.73 is: 7,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.57 : 20,375.89 = 5,264.73 : x
  2. Step 2: Convert to fraction form
    13,586.57/20,375.89 = 5,264.73/x
  3. Step 3: Cross multiply
    13,586.57x = 20,375.89 × 5,264.73
  4. Step 4: Simplify right side
    13,586.57x = 107,273,559.36
  5. Step 5: Solve for x
    x = 107,273,559.36/13,586.57
  6. Step 6: Final answer
    x = 7,895.56

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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.