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Finding the Fourth Proportional to 6,672, 10,007.77 and 3,163.69

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Solution

The fourth proportional to 6,672, 10,007.77 and 3,163.69 is: 4,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672 : 10,007.77 = 3,163.69 : x
  2. Step 2: Convert to fraction form
    6,672/10,007.77 = 3,163.69/x
  3. Step 3: Cross multiply
    6,672x = 10,007.77 × 3,163.69
  4. Step 4: Simplify right side
    6,672x = 31,661,431.83
  5. Step 5: Solve for x
    x = 31,661,431.83/6,672
  6. Step 6: Final answer
    x = 4,745.42

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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.