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Finding the Fourth Proportional to 10,969.86, 15,138.37 and 5,934.09

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Solution

The fourth proportional to 10,969.86, 15,138.37 and 5,934.09 is: 8,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.86 : 15,138.37 = 5,934.09 : x
  2. Step 2: Convert to fraction form
    10,969.86/15,138.37 = 5,934.09/x
  3. Step 3: Cross multiply
    10,969.86x = 15,138.37 × 5,934.09
  4. Step 4: Simplify right side
    10,969.86x = 89,832,450.03
  5. Step 5: Solve for x
    x = 89,832,450.03/10,969.86
  6. Step 6: Final answer
    x = 8,189.02

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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.