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Finding the Fourth Proportional to 27,755.90, 38,304.56 and 16,431.90

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Solution

The fourth proportional to 27,755.90, 38,304.56 and 16,431.90 is: 22,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,755.90 : 38,304.56 = 16,431.90 : x
  2. Step 2: Convert to fraction form
    27,755.90/38,304.56 = 16,431.90/x
  3. Step 3: Cross multiply
    27,755.90x = 38,304.56 × 16,431.90
  4. Step 4: Simplify right side
    27,755.90x = 629,416,699.46
  5. Step 5: Solve for x
    x = 629,416,699.46/27,755.90
  6. Step 6: Final answer
    x = 22,676.86

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1.5x scale

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.