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Finding the Fourth Proportional to 6,769.61, 10,145.13 and 3,809.49

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Solution

The fourth proportional to 6,769.61, 10,145.13 and 3,809.49 is: 5,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.61 : 10,145.13 = 3,809.49 : x
  2. Step 2: Convert to fraction form
    6,769.61/10,145.13 = 3,809.49/x
  3. Step 3: Cross multiply
    6,769.61x = 10,145.13 × 3,809.49
  4. Step 4: Simplify right side
    6,769.61x = 38,647,771.28
  5. Step 5: Solve for x
    x = 38,647,771.28/6,769.61
  6. Step 6: Final answer
    x = 5,709.01

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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.