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Finding the Fourth Proportional to 11,657.15, 16,087.05 and 6,351.97

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Solution

The fourth proportional to 11,657.15, 16,087.05 and 6,351.97 is: 8,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.15 : 16,087.05 = 6,351.97 : x
  2. Step 2: Convert to fraction form
    11,657.15/16,087.05 = 6,351.97/x
  3. Step 3: Cross multiply
    11,657.15x = 16,087.05 × 6,351.97
  4. Step 4: Simplify right side
    11,657.15x = 102,184,458.99
  5. Step 5: Solve for x
    x = 102,184,458.99/11,657.15
  6. Step 6: Final answer
    x = 8,765.82

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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.