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Finding the Fourth Proportional to 27,343, 40,986.48 and 20,755.24

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Solution

The fourth proportional to 27,343, 40,986.48 and 20,755.24 is: 31,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,343 : 40,986.48 = 20,755.24 : x
  2. Step 2: Convert to fraction form
    27,343/40,986.48 = 20,755.24/x
  3. Step 3: Cross multiply
    27,343x = 40,986.48 × 20,755.24
  4. Step 4: Simplify right side
    27,343x = 850,684,229.16
  5. Step 5: Solve for x
    x = 850,684,229.16/27,343
  6. Step 6: Final answer
    x = 31,111.59

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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.