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Finding the Fourth Proportional to 3,745.89, 5,619.24 and 1,149.03

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Solution

The fourth proportional to 3,745.89, 5,619.24 and 1,149.03 is: 1,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.89 : 5,619.24 = 1,149.03 : x
  2. Step 2: Convert to fraction form
    3,745.89/5,619.24 = 1,149.03/x
  3. Step 3: Cross multiply
    3,745.89x = 5,619.24 × 1,149.03
  4. Step 4: Simplify right side
    3,745.89x = 6,456,675.34
  5. Step 5: Solve for x
    x = 6,456,675.34/3,745.89
  6. Step 6: Final answer
    x = 1,723.67

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1.5x scale

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.