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Finding the Fourth Proportional to 2,964.92, 4,091.60 and 1,638.63

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Solution

The fourth proportional to 2,964.92, 4,091.60 and 1,638.63 is: 2,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.92 : 4,091.60 = 1,638.63 : x
  2. Step 2: Convert to fraction form
    2,964.92/4,091.60 = 1,638.63/x
  3. Step 3: Cross multiply
    2,964.92x = 4,091.60 × 1,638.63
  4. Step 4: Simplify right side
    2,964.92x = 6,704,606.05
  5. Step 5: Solve for x
    x = 6,704,606.05/2,964.92
  6. Step 6: Final answer
    x = 2,261.31

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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.