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Finding the Fourth Proportional to 6,765, 10,149.81 and 3,645.33

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Solution

The fourth proportional to 6,765, 10,149.81 and 3,645.33 is: 5,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765 : 10,149.81 = 3,645.33 : x
  2. Step 2: Convert to fraction form
    6,765/10,149.81 = 3,645.33/x
  3. Step 3: Cross multiply
    6,765x = 10,149.81 × 3,645.33
  4. Step 4: Simplify right side
    6,765x = 36,999,406.89
  5. Step 5: Solve for x
    x = 36,999,406.89/6,765
  6. Step 6: Final answer
    x = 5,469.24

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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.