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Finding the Fourth Proportional to 2,822.60, 4,229.28 and 2,714.60

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Solution

The fourth proportional to 2,822.60, 4,229.28 and 2,714.60 is: 4,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.60 : 4,229.28 = 2,714.60 : x
  2. Step 2: Convert to fraction form
    2,822.60/4,229.28 = 2,714.60/x
  3. Step 3: Cross multiply
    2,822.60x = 4,229.28 × 2,714.60
  4. Step 4: Simplify right side
    2,822.60x = 11,480,803.49
  5. Step 5: Solve for x
    x = 11,480,803.49/2,822.60
  6. Step 6: Final answer
    x = 4,067.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.