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Finding the Fourth Proportional to 5,745.38, 8,619.30 and 1,850.09

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Solution

The fourth proportional to 5,745.38, 8,619.30 and 1,850.09 is: 2,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.38 : 8,619.30 = 1,850.09 : x
  2. Step 2: Convert to fraction form
    5,745.38/8,619.30 = 1,850.09/x
  3. Step 3: Cross multiply
    5,745.38x = 8,619.30 × 1,850.09
  4. Step 4: Simplify right side
    5,745.38x = 15,946,437.64
  5. Step 5: Solve for x
    x = 15,946,437.64/5,745.38
  6. Step 6: Final answer
    x = 2,775.53

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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.