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Finding the Fourth Proportional to 2,769.45, 3,843 and 2,662.53

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Solution

The fourth proportional to 2,769.45, 3,843 and 2,662.53 is: 3,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.45 : 3,843 = 2,662.53 : x
  2. Step 2: Convert to fraction form
    2,769.45/3,843 = 2,662.53/x
  3. Step 3: Cross multiply
    2,769.45x = 3,843 × 2,662.53
  4. Step 4: Simplify right side
    2,769.45x = 10,232,102.79
  5. Step 5: Solve for x
    x = 10,232,102.79/2,769.45
  6. Step 6: Final answer
    x = 3,694.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.