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Finding the Fourth Proportional to 6,769.50, 10,154.31 and 2,665.50

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Solution

The fourth proportional to 6,769.50, 10,154.31 and 2,665.50 is: 3,998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.50 : 10,154.31 = 2,665.50 : x
  2. Step 2: Convert to fraction form
    6,769.50/10,154.31 = 2,665.50/x
  3. Step 3: Cross multiply
    6,769.50x = 10,154.31 × 2,665.50
  4. Step 4: Simplify right side
    6,769.50x = 27,066,313.31
  5. Step 5: Solve for x
    x = 27,066,313.31/6,769.50
  6. Step 6: Final answer
    x = 3,998.27

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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.