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Finding the Fourth Proportional to 13,978.64, 20,961.48 and 8,136.92

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Solution

The fourth proportional to 13,978.64, 20,961.48 and 8,136.92 is: 12,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.64 : 20,961.48 = 8,136.92 : x
  2. Step 2: Convert to fraction form
    13,978.64/20,961.48 = 8,136.92/x
  3. Step 3: Cross multiply
    13,978.64x = 20,961.48 × 8,136.92
  4. Step 4: Simplify right side
    13,978.64x = 170,561,885.84
  5. Step 5: Solve for x
    x = 170,561,885.84/13,978.64
  6. Step 6: Final answer
    x = 12,201.61

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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.