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Finding the Fourth Proportional to 5,672, 8,509.44 and 2,163.44

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Solution

The fourth proportional to 5,672, 8,509.44 and 2,163.44 is: 3,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672 : 8,509.44 = 2,163.44 : x
  2. Step 2: Convert to fraction form
    5,672/8,509.44 = 2,163.44/x
  3. Step 3: Cross multiply
    5,672x = 8,509.44 × 2,163.44
  4. Step 4: Simplify right side
    5,672x = 18,409,662.87
  5. Step 5: Solve for x
    x = 18,409,662.87/5,672
  6. Step 6: Final answer
    x = 3,245.71

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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.