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Finding the Fourth Proportional to 5,163.76, 7,745.64 and 3,631.60

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Solution

The fourth proportional to 5,163.76, 7,745.64 and 3,631.60 is: 5,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.76 : 7,745.64 = 3,631.60 : x
  2. Step 2: Convert to fraction form
    5,163.76/7,745.64 = 3,631.60/x
  3. Step 3: Cross multiply
    5,163.76x = 7,745.64 × 3,631.60
  4. Step 4: Simplify right side
    5,163.76x = 28,129,066.22
  5. Step 5: Solve for x
    x = 28,129,066.22/5,163.76
  6. Step 6: Final answer
    x = 5,447.40

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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.