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Finding the Fourth Proportional to 2,821.60, 4,227.60 and 2,648.80

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Solution

The fourth proportional to 2,821.60, 4,227.60 and 2,648.80 is: 3,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.60 : 4,227.60 = 2,648.80 : x
  2. Step 2: Convert to fraction form
    2,821.60/4,227.60 = 2,648.80/x
  3. Step 3: Cross multiply
    2,821.60x = 4,227.60 × 2,648.80
  4. Step 4: Simplify right side
    2,821.60x = 11,198,066.88
  5. Step 5: Solve for x
    x = 11,198,066.88/2,821.60
  6. Step 6: Final answer
    x = 3,968.69

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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.