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Finding the Fourth Proportional to 9,305.78, 13,928.34 and 6,839.96

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Solution

The fourth proportional to 9,305.78, 13,928.34 and 6,839.96 is: 10,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.78 : 13,928.34 = 6,839.96 : x
  2. Step 2: Convert to fraction form
    9,305.78/13,928.34 = 6,839.96/x
  3. Step 3: Cross multiply
    9,305.78x = 13,928.34 × 6,839.96
  4. Step 4: Simplify right side
    9,305.78x = 95,269,288.47
  5. Step 5: Solve for x
    x = 95,269,288.47/9,305.78
  6. Step 6: Final answer
    x = 10,237.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.