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Finding the Fourth Proportional to 9,481.25, 13,040.38 and 8,300.27

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Solution

The fourth proportional to 9,481.25, 13,040.38 and 8,300.27 is: 11,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.25 : 13,040.38 = 8,300.27 : x
  2. Step 2: Convert to fraction form
    9,481.25/13,040.38 = 8,300.27/x
  3. Step 3: Cross multiply
    9,481.25x = 13,040.38 × 8,300.27
  4. Step 4: Simplify right side
    9,481.25x = 108,238,674.90
  5. Step 5: Solve for x
    x = 108,238,674.90/9,481.25
  6. Step 6: Final answer
    x = 11,416.08

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Why These Related Problems?

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