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Finding the Fourth Proportional to 3,745.68, 5,190.90 and 3,692.83

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Solution

The fourth proportional to 3,745.68, 5,190.90 and 3,692.83 is: 5,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.68 : 5,190.90 = 3,692.83 : x
  2. Step 2: Convert to fraction form
    3,745.68/5,190.90 = 3,692.83/x
  3. Step 3: Cross multiply
    3,745.68x = 5,190.90 × 3,692.83
  4. Step 4: Simplify right side
    3,745.68x = 19,169,103.89
  5. Step 5: Solve for x
    x = 19,169,103.89/3,745.68
  6. Step 6: Final answer
    x = 5,117.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.