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Finding the Fourth Proportional to 3,766.56, 5,647.84 and 2,209.60

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Solution

The fourth proportional to 3,766.56, 5,647.84 and 2,209.60 is: 3,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.56 : 5,647.84 = 2,209.60 : x
  2. Step 2: Convert to fraction form
    3,766.56/5,647.84 = 2,209.60/x
  3. Step 3: Cross multiply
    3,766.56x = 5,647.84 × 2,209.60
  4. Step 4: Simplify right side
    3,766.56x = 12,479,467.26
  5. Step 5: Solve for x
    x = 12,479,467.26/3,766.56
  6. Step 6: Final answer
    x = 3,313.23

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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.