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Finding the Fourth Proportional to 27,199.92, 40,801.41 and 7,478.04

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Solution

The fourth proportional to 27,199.92, 40,801.41 and 7,478.04 is: 11,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.92 : 40,801.41 = 7,478.04 : x
  2. Step 2: Convert to fraction form
    27,199.92/40,801.41 = 7,478.04/x
  3. Step 3: Cross multiply
    27,199.92x = 40,801.41 × 7,478.04
  4. Step 4: Simplify right side
    27,199.92x = 305,114,576.04
  5. Step 5: Solve for x
    x = 305,114,576.04/27,199.92
  6. Step 6: Final answer
    x = 11,217.48

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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.