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Finding the Fourth Proportional to 13,691.72, 20,537.57 and 5,375.65

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Solution

The fourth proportional to 13,691.72, 20,537.57 and 5,375.65 is: 8,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.72 : 20,537.57 = 5,375.65 : x
  2. Step 2: Convert to fraction form
    13,691.72/20,537.57 = 5,375.65/x
  3. Step 3: Cross multiply
    13,691.72x = 20,537.57 × 5,375.65
  4. Step 4: Simplify right side
    13,691.72x = 110,402,750.27
  5. Step 5: Solve for x
    x = 110,402,750.27/13,691.72
  6. Step 6: Final answer
    x = 8,063.47

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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.