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Finding the Fourth Proportional to 27,999.78, 38,638.13 and 16,062

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Solution

The fourth proportional to 27,999.78, 38,638.13 and 16,062 is: 22,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,999.78 : 38,638.13 = 16,062 : x
  2. Step 2: Convert to fraction form
    27,999.78/38,638.13 = 16,062/x
  3. Step 3: Cross multiply
    27,999.78x = 38,638.13 × 16,062
  4. Step 4: Simplify right side
    27,999.78x = 620,605,563.75
  5. Step 5: Solve for x
    x = 620,605,563.75/27,999.78
  6. Step 6: Final answer
    x = 22,164.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.