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Finding the Fourth Proportional to 5,163.64, 7,745.82 and 1,605.28

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Solution

The fourth proportional to 5,163.64, 7,745.82 and 1,605.28 is: 2,408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.64 : 7,745.82 = 1,605.28 : x
  2. Step 2: Convert to fraction form
    5,163.64/7,745.82 = 1,605.28/x
  3. Step 3: Cross multiply
    5,163.64x = 7,745.82 × 1,605.28
  4. Step 4: Simplify right side
    5,163.64x = 12,434,209.93
  5. Step 5: Solve for x
    x = 12,434,209.93/5,163.64
  6. Step 6: Final answer
    x = 2,408.03

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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.