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Finding the Fourth Proportional to 10,771.41, 16,129.56 and 9,772.68

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Solution

The fourth proportional to 10,771.41, 16,129.56 and 9,772.68 is: 14,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.41 : 16,129.56 = 9,772.68 : x
  2. Step 2: Convert to fraction form
    10,771.41/16,129.56 = 9,772.68/x
  3. Step 3: Cross multiply
    10,771.41x = 16,129.56 × 9,772.68
  4. Step 4: Simplify right side
    10,771.41x = 157,629,028.42
  5. Step 5: Solve for x
    x = 157,629,028.42/10,771.41
  6. Step 6: Final answer
    x = 14,634.02

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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.