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Finding the Fourth Proportional to 26,382.75, 39,578 and 7,660.33

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Solution

The fourth proportional to 26,382.75, 39,578 and 7,660.33 is: 11,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,382.75 : 39,578 = 7,660.33 : x
  2. Step 2: Convert to fraction form
    26,382.75/39,578 = 7,660.33/x
  3. Step 3: Cross multiply
    26,382.75x = 39,578 × 7,660.33
  4. Step 4: Simplify right side
    26,382.75x = 303,180,540.74
  5. Step 5: Solve for x
    x = 303,180,540.74/26,382.75
  6. Step 6: Final answer
    x = 11,491.62

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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.