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Finding the Fourth Proportional to 20,773.88, 31,170 and 10,910.80

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Solution

The fourth proportional to 20,773.88, 31,170 and 10,910.80 is: 16,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,773.88 : 31,170 = 10,910.80 : x
  2. Step 2: Convert to fraction form
    20,773.88/31,170 = 10,910.80/x
  3. Step 3: Cross multiply
    20,773.88x = 31,170 × 10,910.80
  4. Step 4: Simplify right side
    20,773.88x = 340,089,636
  5. Step 5: Solve for x
    x = 340,089,636/20,773.88
  6. Step 6: Final answer
    x = 16,371.02

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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.