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Finding the Fourth Proportional to 2,902.88, 4,008 and 2,229.56

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Solution

The fourth proportional to 2,902.88, 4,008 and 2,229.56 is: 3,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.88 : 4,008 = 2,229.56 : x
  2. Step 2: Convert to fraction form
    2,902.88/4,008 = 2,229.56/x
  3. Step 3: Cross multiply
    2,902.88x = 4,008 × 2,229.56
  4. Step 4: Simplify right side
    2,902.88x = 8,936,076.48
  5. Step 5: Solve for x
    x = 8,936,076.48/2,902.88
  6. Step 6: Final answer
    x = 3,078.35

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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.