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Finding the Fourth Proportional to 6,765, 10,147.56 and 2,661

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Solution

The fourth proportional to 6,765, 10,147.56 and 2,661 is: 3,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765 : 10,147.56 = 2,661 : x
  2. Step 2: Convert to fraction form
    6,765/10,147.56 = 2,661/x
  3. Step 3: Cross multiply
    6,765x = 10,147.56 × 2,661
  4. Step 4: Simplify right side
    6,765x = 27,002,657.16
  5. Step 5: Solve for x
    x = 27,002,657.16/6,765
  6. Step 6: Final answer
    x = 3,991.52

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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.