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Finding the Fourth Proportional to 13,731.68, 20,597.48 and 3,343.44

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Solution

The fourth proportional to 13,731.68, 20,597.48 and 3,343.44 is: 5,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.68 : 20,597.48 = 3,343.44 : x
  2. Step 2: Convert to fraction form
    13,731.68/20,597.48 = 3,343.44/x
  3. Step 3: Cross multiply
    13,731.68x = 20,597.48 × 3,343.44
  4. Step 4: Simplify right side
    13,731.68x = 68,866,438.53
  5. Step 5: Solve for x
    x = 68,866,438.53/13,731.68
  6. Step 6: Final answer
    x = 5,015.15

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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.