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Finding the Fourth Proportional to 38,505, 57,757.50 and 13,881

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Solution

The fourth proportional to 38,505, 57,757.50 and 13,881 is: 20,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,505 : 57,757.50 = 13,881 : x
  2. Step 2: Convert to fraction form
    38,505/57,757.50 = 13,881/x
  3. Step 3: Cross multiply
    38,505x = 57,757.50 × 13,881
  4. Step 4: Simplify right side
    38,505x = 801,731,857.50
  5. Step 5: Solve for x
    x = 801,731,857.50/38,505
  6. Step 6: Final answer
    x = 20,821.50

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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.