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Finding the Fourth Proportional to 10,086.86, 13,921.08 and 6,107.24

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Solution

The fourth proportional to 10,086.86, 13,921.08 and 6,107.24 is: 8,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.86 : 13,921.08 = 6,107.24 : x
  2. Step 2: Convert to fraction form
    10,086.86/13,921.08 = 6,107.24/x
  3. Step 3: Cross multiply
    10,086.86x = 13,921.08 × 6,107.24
  4. Step 4: Simplify right side
    10,086.86x = 85,019,376.62
  5. Step 5: Solve for x
    x = 85,019,376.62/10,086.86
  6. Step 6: Final answer
    x = 8,428.73

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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.