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Finding the Fourth Proportional to 2,894.64, 3,982.28 and 2,556.88

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Solution

The fourth proportional to 2,894.64, 3,982.28 and 2,556.88 is: 3,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.64 : 3,982.28 = 2,556.88 : x
  2. Step 2: Convert to fraction form
    2,894.64/3,982.28 = 2,556.88/x
  3. Step 3: Cross multiply
    2,894.64x = 3,982.28 × 2,556.88
  4. Step 4: Simplify right side
    2,894.64x = 10,182,212.09
  5. Step 5: Solve for x
    x = 10,182,212.09/2,894.64
  6. Step 6: Final answer
    x = 3,517.61

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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.