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Finding the Fourth Proportional to 16,516.96, 24,778.02 and 5,421.12

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Solution

The fourth proportional to 16,516.96, 24,778.02 and 5,421.12 is: 8,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.96 : 24,778.02 = 5,421.12 : x
  2. Step 2: Convert to fraction form
    16,516.96/24,778.02 = 5,421.12/x
  3. Step 3: Cross multiply
    16,516.96x = 24,778.02 × 5,421.12
  4. Step 4: Simplify right side
    16,516.96x = 134,324,619.78
  5. Step 5: Solve for x
    x = 134,324,619.78/16,516.96
  6. Step 6: Final answer
    x = 8,132.53

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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.