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Finding the Fourth Proportional to 2,638.74, 3,956.64 and 1,662.76

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Solution

The fourth proportional to 2,638.74, 3,956.64 and 1,662.76 is: 2,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.74 : 3,956.64 = 1,662.76 : x
  2. Step 2: Convert to fraction form
    2,638.74/3,956.64 = 1,662.76/x
  3. Step 3: Cross multiply
    2,638.74x = 3,956.64 × 1,662.76
  4. Step 4: Simplify right side
    2,638.74x = 6,578,942.73
  5. Step 5: Solve for x
    x = 6,578,942.73/2,638.74
  6. Step 6: Final answer
    x = 2,493.21

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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.