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Finding the Fourth Proportional to 27,811.20, 41,720.04 and 9,092.64

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Solution

The fourth proportional to 27,811.20, 41,720.04 and 9,092.64 is: 13,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811.20 : 41,720.04 = 9,092.64 : x
  2. Step 2: Convert to fraction form
    27,811.20/41,720.04 = 9,092.64/x
  3. Step 3: Cross multiply
    27,811.20x = 41,720.04 × 9,092.64
  4. Step 4: Simplify right side
    27,811.20x = 379,345,304.51
  5. Step 5: Solve for x
    x = 379,345,304.51/27,811.20
  6. Step 6: Final answer
    x = 13,640.02

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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.