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Finding the Fourth Proportional to 2,940.50, 4,028.54 and 2,829.80

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Solution

The fourth proportional to 2,940.50, 4,028.54 and 2,829.80 is: 3,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.50 : 4,028.54 = 2,829.80 : x
  2. Step 2: Convert to fraction form
    2,940.50/4,028.54 = 2,829.80/x
  3. Step 3: Cross multiply
    2,940.50x = 4,028.54 × 2,829.80
  4. Step 4: Simplify right side
    2,940.50x = 11,399,962.49
  5. Step 5: Solve for x
    x = 11,399,962.49/2,940.50
  6. Step 6: Final answer
    x = 3,876.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.