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Finding the Fourth Proportional to 3,765.66, 5,643.60 and 1,816.80

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Solution

The fourth proportional to 3,765.66, 5,643.60 and 1,816.80 is: 2,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.66 : 5,643.60 = 1,816.80 : x
  2. Step 2: Convert to fraction form
    3,765.66/5,643.60 = 1,816.80/x
  3. Step 3: Cross multiply
    3,765.66x = 5,643.60 × 1,816.80
  4. Step 4: Simplify right side
    3,765.66x = 10,253,292.48
  5. Step 5: Solve for x
    x = 10,253,292.48/3,765.66
  6. Step 6: Final answer
    x = 2,722.84

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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.