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Finding the Fourth Proportional to 3,276.78, 4,915.22 and 3,022.88

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Solution

The fourth proportional to 3,276.78, 4,915.22 and 3,022.88 is: 4,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.78 : 4,915.22 = 3,022.88 : x
  2. Step 2: Convert to fraction form
    3,276.78/4,915.22 = 3,022.88/x
  3. Step 3: Cross multiply
    3,276.78x = 4,915.22 × 3,022.88
  4. Step 4: Simplify right side
    3,276.78x = 14,858,080.54
  5. Step 5: Solve for x
    x = 14,858,080.54/3,276.78
  6. Step 6: Final answer
    x = 4,534.35

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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.