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Finding the Fourth Proportional to 2,821.64, 3,894.09 and 1,563.09

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Solution

The fourth proportional to 2,821.64, 3,894.09 and 1,563.09 is: 2,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.64 : 3,894.09 = 1,563.09 : x
  2. Step 2: Convert to fraction form
    2,821.64/3,894.09 = 1,563.09/x
  3. Step 3: Cross multiply
    2,821.64x = 3,894.09 × 1,563.09
  4. Step 4: Simplify right side
    2,821.64x = 6,086,813.14
  5. Step 5: Solve for x
    x = 6,086,813.14/2,821.64
  6. Step 6: Final answer
    x = 2,157.19

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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.