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Finding the Fourth Proportional to 13,906.78, 20,845.59 and 6,505

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Solution

The fourth proportional to 13,906.78, 20,845.59 and 6,505 is: 9,750.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.78 : 20,845.59 = 6,505 : x
  2. Step 2: Convert to fraction form
    13,906.78/20,845.59 = 6,505/x
  3. Step 3: Cross multiply
    13,906.78x = 20,845.59 × 6,505
  4. Step 4: Simplify right side
    13,906.78x = 135,600,562.95
  5. Step 5: Solve for x
    x = 135,600,562.95/13,906.78
  6. Step 6: Final answer
    x = 9,750.68

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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.