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Finding the Fourth Proportional to 20,716.96, 31,074.16 and 8,404.64

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Solution

The fourth proportional to 20,716.96, 31,074.16 and 8,404.64 is: 12,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,716.96 : 31,074.16 = 8,404.64 : x
  2. Step 2: Convert to fraction form
    20,716.96/31,074.16 = 8,404.64/x
  3. Step 3: Cross multiply
    20,716.96x = 31,074.16 × 8,404.64
  4. Step 4: Simplify right side
    20,716.96x = 261,167,128.10
  5. Step 5: Solve for x
    x = 261,167,128.10/20,716.96
  6. Step 6: Final answer
    x = 12,606.44

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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.