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Finding the Fourth Proportional to 6,419.76, 8,860.20 and 3,766.80

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Solution

The fourth proportional to 6,419.76, 8,860.20 and 3,766.80 is: 5,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.76 : 8,860.20 = 3,766.80 : x
  2. Step 2: Convert to fraction form
    6,419.76/8,860.20 = 3,766.80/x
  3. Step 3: Cross multiply
    6,419.76x = 8,860.20 × 3,766.80
  4. Step 4: Simplify right side
    6,419.76x = 33,374,601.36
  5. Step 5: Solve for x
    x = 33,374,601.36/6,419.76
  6. Step 6: Final answer
    x = 5,198.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.