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Finding the Fourth Proportional to 13,732.54, 20,597.29 and 3,872.21

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Solution

The fourth proportional to 13,732.54, 20,597.29 and 3,872.21 is: 5,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.54 : 20,597.29 = 3,872.21 : x
  2. Step 2: Convert to fraction form
    13,732.54/20,597.29 = 3,872.21/x
  3. Step 3: Cross multiply
    13,732.54x = 20,597.29 × 3,872.21
  4. Step 4: Simplify right side
    13,732.54x = 79,756,919.64
  5. Step 5: Solve for x
    x = 79,756,919.64/13,732.54
  6. Step 6: Final answer
    x = 5,807.88

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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.