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Finding the Fourth Proportional to 27,107.28, 40,664.84 and 8,388.88

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Solution

The fourth proportional to 27,107.28, 40,664.84 and 8,388.88 is: 12,584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.28 : 40,664.84 = 8,388.88 : x
  2. Step 2: Convert to fraction form
    27,107.28/40,664.84 = 8,388.88/x
  3. Step 3: Cross multiply
    27,107.28x = 40,664.84 × 8,388.88
  4. Step 4: Simplify right side
    27,107.28x = 341,132,462.98
  5. Step 5: Solve for x
    x = 341,132,462.98/27,107.28
  6. Step 6: Final answer
    x = 12,584.53

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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.