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Finding the Fourth Proportional to 5,163.90, 7,745.85 and 4,677.90

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Solution

The fourth proportional to 5,163.90, 7,745.85 and 4,677.90 is: 7,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.90 : 7,745.85 = 4,677.90 : x
  2. Step 2: Convert to fraction form
    5,163.90/7,745.85 = 4,677.90/x
  3. Step 3: Cross multiply
    5,163.90x = 7,745.85 × 4,677.90
  4. Step 4: Simplify right side
    5,163.90x = 36,234,311.72
  5. Step 5: Solve for x
    x = 36,234,311.72/5,163.90
  6. Step 6: Final answer
    x = 7,016.85

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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.