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Finding the Fourth Proportional to 16,431.96, 24,646.73 and 8,105.70

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Solution

The fourth proportional to 16,431.96, 24,646.73 and 8,105.70 is: 12,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.96 : 24,646.73 = 8,105.70 : x
  2. Step 2: Convert to fraction form
    16,431.96/24,646.73 = 8,105.70/x
  3. Step 3: Cross multiply
    16,431.96x = 24,646.73 × 8,105.70
  4. Step 4: Simplify right side
    16,431.96x = 199,778,958.83
  5. Step 5: Solve for x
    x = 199,778,958.83/16,431.96
  6. Step 6: Final answer
    x = 12,157.95

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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.