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Finding the Fourth Proportional to 13,767.44, 20,648.16 and 3,906.56

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Solution

The fourth proportional to 13,767.44, 20,648.16 and 3,906.56 is: 5,858.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.44 : 20,648.16 = 3,906.56 : x
  2. Step 2: Convert to fraction form
    13,767.44/20,648.16 = 3,906.56/x
  3. Step 3: Cross multiply
    13,767.44x = 20,648.16 × 3,906.56
  4. Step 4: Simplify right side
    13,767.44x = 80,663,275.93
  5. Step 5: Solve for x
    x = 80,663,275.93/13,767.44
  6. Step 6: Final answer
    x = 5,858.99

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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.