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Finding the Fourth Proportional to 11,650.86, 16,078.64 and 6,346.17

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Solution

The fourth proportional to 11,650.86, 16,078.64 and 6,346.17 is: 8,757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.86 : 16,078.64 = 6,346.17 : x
  2. Step 2: Convert to fraction form
    11,650.86/16,078.64 = 6,346.17/x
  3. Step 3: Cross multiply
    11,650.86x = 16,078.64 × 6,346.17
  4. Step 4: Simplify right side
    11,650.86x = 102,037,751.08
  5. Step 5: Solve for x
    x = 102,037,751.08/11,650.86
  6. Step 6: Final answer
    x = 8,757.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.