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Finding the Fourth Proportional to 11,728.74, 17,593.90 and 4,129.11

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Solution

The fourth proportional to 11,728.74, 17,593.90 and 4,129.11 is: 6,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.74 : 17,593.90 = 4,129.11 : x
  2. Step 2: Convert to fraction form
    11,728.74/17,593.90 = 4,129.11/x
  3. Step 3: Cross multiply
    11,728.74x = 17,593.90 × 4,129.11
  4. Step 4: Simplify right side
    11,728.74x = 72,647,148.43
  5. Step 5: Solve for x
    x = 72,647,148.43/11,728.74
  6. Step 6: Final answer
    x = 6,193.94

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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.