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Finding the Fourth Proportional to 4,092.78, 5,648.04 and 2,229.78

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Solution

The fourth proportional to 4,092.78, 5,648.04 and 2,229.78 is: 3,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.78 : 5,648.04 = 2,229.78 : x
  2. Step 2: Convert to fraction form
    4,092.78/5,648.04 = 2,229.78/x
  3. Step 3: Cross multiply
    4,092.78x = 5,648.04 × 2,229.78
  4. Step 4: Simplify right side
    4,092.78x = 12,593,886.63
  5. Step 5: Solve for x
    x = 12,593,886.63/4,092.78
  6. Step 6: Final answer
    x = 3,077.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.