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Finding the Fourth Proportional to 2,771, 3,824.16 and 1,529

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Solution

The fourth proportional to 2,771, 3,824.16 and 1,529 is: 2,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771 : 3,824.16 = 1,529 : x
  2. Step 2: Convert to fraction form
    2,771/3,824.16 = 1,529/x
  3. Step 3: Cross multiply
    2,771x = 3,824.16 × 1,529
  4. Step 4: Simplify right side
    2,771x = 5,847,140.64
  5. Step 5: Solve for x
    x = 5,847,140.64/2,771
  6. Step 6: Final answer
    x = 2,110.12

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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.