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Finding the Fourth Proportional to 13,472.88, 20,196.82 and 6,884.54

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Solution

The fourth proportional to 13,472.88, 20,196.82 and 6,884.54 is: 10,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,472.88 : 20,196.82 = 6,884.54 : x
  2. Step 2: Convert to fraction form
    13,472.88/20,196.82 = 6,884.54/x
  3. Step 3: Cross multiply
    13,472.88x = 20,196.82 × 6,884.54
  4. Step 4: Simplify right side
    13,472.88x = 139,045,815.16
  5. Step 5: Solve for x
    x = 139,045,815.16/13,472.88
  6. Step 6: Final answer
    x = 10,320.42

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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.