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Finding the Fourth Proportional to 3,556, 4,906.96 and 2,229.28

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Solution

The fourth proportional to 3,556, 4,906.96 and 2,229.28 is: 3,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556 : 4,906.96 = 2,229.28 : x
  2. Step 2: Convert to fraction form
    3,556/4,906.96 = 2,229.28/x
  3. Step 3: Cross multiply
    3,556x = 4,906.96 × 2,229.28
  4. Step 4: Simplify right side
    3,556x = 10,938,987.79
  5. Step 5: Solve for x
    x = 10,938,987.79/3,556
  6. Step 6: Final answer
    x = 3,076.21

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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.