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Finding the Fourth Proportional to 3,766.66, 5,645.10 and 1,817.80

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Solution

The fourth proportional to 3,766.66, 5,645.10 and 1,817.80 is: 2,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.66 : 5,645.10 = 1,817.80 : x
  2. Step 2: Convert to fraction form
    3,766.66/5,645.10 = 1,817.80/x
  3. Step 3: Cross multiply
    3,766.66x = 5,645.10 × 1,817.80
  4. Step 4: Simplify right side
    3,766.66x = 10,261,662.78
  5. Step 5: Solve for x
    x = 10,261,662.78/3,766.66
  6. Step 6: Final answer
    x = 2,724.34

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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.