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Finding the Fourth Proportional to 13,850.76, 20,781 and 8,650.56

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Solution

The fourth proportional to 13,850.76, 20,781 and 8,650.56 is: 12,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.76 : 20,781 = 8,650.56 : x
  2. Step 2: Convert to fraction form
    13,850.76/20,781 = 8,650.56/x
  3. Step 3: Cross multiply
    13,850.76x = 20,781 × 8,650.56
  4. Step 4: Simplify right side
    13,850.76x = 179,767,287.36
  5. Step 5: Solve for x
    x = 179,767,287.36/13,850.76
  6. Step 6: Final answer
    x = 12,978.88

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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.