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Finding the Fourth Proportional to 27,002, 40,505.92 and 7,280.48

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Solution

The fourth proportional to 27,002, 40,505.92 and 7,280.48 is: 10,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002 : 40,505.92 = 7,280.48 : x
  2. Step 2: Convert to fraction form
    27,002/40,505.92 = 7,280.48/x
  3. Step 3: Cross multiply
    27,002x = 40,505.92 × 7,280.48
  4. Step 4: Simplify right side
    27,002x = 294,902,540.44
  5. Step 5: Solve for x
    x = 294,902,540.44/27,002
  6. Step 6: Final answer
    x = 10,921.51

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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.