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Finding the Fourth Proportional to 13,945, 20,921.82 and 5,737

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Solution

The fourth proportional to 13,945, 20,921.82 and 5,737 is: 8,607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,945 : 20,921.82 = 5,737 : x
  2. Step 2: Convert to fraction form
    13,945/20,921.82 = 5,737/x
  3. Step 3: Cross multiply
    13,945x = 20,921.82 × 5,737
  4. Step 4: Simplify right side
    13,945x = 120,028,481.34
  5. Step 5: Solve for x
    x = 120,028,481.34/13,945
  6. Step 6: Final answer
    x = 8,607.28

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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.