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Finding the Fourth Proportional to 27,538.40, 41,309.17 and 7,815.41

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Solution

The fourth proportional to 27,538.40, 41,309.17 and 7,815.41 is: 11,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.40 : 41,309.17 = 7,815.41 : x
  2. Step 2: Convert to fraction form
    27,538.40/41,309.17 = 7,815.41/x
  3. Step 3: Cross multiply
    27,538.40x = 41,309.17 × 7,815.41
  4. Step 4: Simplify right side
    27,538.40x = 322,848,100.31
  5. Step 5: Solve for x
    x = 322,848,100.31/27,538.40
  6. Step 6: Final answer
    x = 11,723.56

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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.