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Finding the Fourth Proportional to 27,540, 41,310.81 and 6,763.50

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Solution

The fourth proportional to 27,540, 41,310.81 and 6,763.50 is: 10,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540 : 41,310.81 = 6,763.50 : x
  2. Step 2: Convert to fraction form
    27,540/41,310.81 = 6,763.50/x
  3. Step 3: Cross multiply
    27,540x = 41,310.81 × 6,763.50
  4. Step 4: Simplify right side
    27,540x = 279,405,663.44
  5. Step 5: Solve for x
    x = 279,405,663.44/27,540
  6. Step 6: Final answer
    x = 10,145.45

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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.