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Finding the Fourth Proportional to 13,906.94, 20,840.90 and 7,669.86

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Solution

The fourth proportional to 13,906.94, 20,840.90 and 7,669.86 is: 11,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.94 : 20,840.90 = 7,669.86 : x
  2. Step 2: Convert to fraction form
    13,906.94/20,840.90 = 7,669.86/x
  3. Step 3: Cross multiply
    13,906.94x = 20,840.90 × 7,669.86
  4. Step 4: Simplify right side
    13,906.94x = 159,846,746.92
  5. Step 5: Solve for x
    x = 159,846,746.92/13,906.94
  6. Step 6: Final answer
    x = 11,494.03

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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.