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Finding the Fourth Proportional to 13,892.46, 20,837.34 and 7,650.42

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Solution

The fourth proportional to 13,892.46, 20,837.34 and 7,650.42 is: 11,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.46 : 20,837.34 = 7,650.42 : x
  2. Step 2: Convert to fraction form
    13,892.46/20,837.34 = 7,650.42/x
  3. Step 3: Cross multiply
    13,892.46x = 20,837.34 × 7,650.42
  4. Step 4: Simplify right side
    13,892.46x = 159,414,402.68
  5. Step 5: Solve for x
    x = 159,414,402.68/13,892.46
  6. Step 6: Final answer
    x = 11,474.89

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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.