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Finding the Fourth Proportional to 3,604.41, 5,409.81 and 1,850.64

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Solution

The fourth proportional to 3,604.41, 5,409.81 and 1,850.64 is: 2,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.41 : 5,409.81 = 1,850.64 : x
  2. Step 2: Convert to fraction form
    3,604.41/5,409.81 = 1,850.64/x
  3. Step 3: Cross multiply
    3,604.41x = 5,409.81 × 1,850.64
  4. Step 4: Simplify right side
    3,604.41x = 10,011,610.78
  5. Step 5: Solve for x
    x = 10,011,610.78/3,604.41
  6. Step 6: Final answer
    x = 2,777.60

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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.