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Finding the Fourth Proportional to 3,261.94, 4,893.19 and 921.96

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Solution

The fourth proportional to 3,261.94, 4,893.19 and 921.96 is: 1,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.94 : 4,893.19 = 921.96 : x
  2. Step 2: Convert to fraction form
    3,261.94/4,893.19 = 921.96/x
  3. Step 3: Cross multiply
    3,261.94x = 4,893.19 × 921.96
  4. Step 4: Simplify right side
    3,261.94x = 4,511,323.15
  5. Step 5: Solve for x
    x = 4,511,323.15/3,261.94
  6. Step 6: Final answer
    x = 1,383.02

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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.