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Finding the Fourth Proportional to 2,964.62, 4,091.17 and 1,638.32

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Solution

The fourth proportional to 2,964.62, 4,091.17 and 1,638.32 is: 2,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.62 : 4,091.17 = 1,638.32 : x
  2. Step 2: Convert to fraction form
    2,964.62/4,091.17 = 1,638.32/x
  3. Step 3: Cross multiply
    2,964.62x = 4,091.17 × 1,638.32
  4. Step 4: Simplify right side
    2,964.62x = 6,702,645.63
  5. Step 5: Solve for x
    x = 6,702,645.63/2,964.62
  6. Step 6: Final answer
    x = 2,260.88

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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.