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Finding the Fourth Proportional to 2,771.29, 3,824.43 and 1,529.29

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Solution

The fourth proportional to 2,771.29, 3,824.43 and 1,529.29 is: 2,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.29 : 3,824.43 = 1,529.29 : x
  2. Step 2: Convert to fraction form
    2,771.29/3,824.43 = 1,529.29/x
  3. Step 3: Cross multiply
    2,771.29x = 3,824.43 × 1,529.29
  4. Step 4: Simplify right side
    2,771.29x = 5,848,662.55
  5. Step 5: Solve for x
    x = 5,848,662.55/2,771.29
  6. Step 6: Final answer
    x = 2,110.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.