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Finding the Fourth Proportional to 3,745.86, 5,619.39 and 1,406.67

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Solution

The fourth proportional to 3,745.86, 5,619.39 and 1,406.67 is: 2,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.86 : 5,619.39 = 1,406.67 : x
  2. Step 2: Convert to fraction form
    3,745.86/5,619.39 = 1,406.67/x
  3. Step 3: Cross multiply
    3,745.86x = 5,619.39 × 1,406.67
  4. Step 4: Simplify right side
    3,745.86x = 7,904,627.33
  5. Step 5: Solve for x
    x = 7,904,627.33/3,745.86
  6. Step 6: Final answer
    x = 2,110.23

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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.