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Finding the Fourth Proportional to 2,576, 3,864 and 1,208

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Solution

The fourth proportional to 2,576, 3,864 and 1,208 is: 1,812

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576 : 3,864 = 1,208 : x
  2. Step 2: Convert to fraction form
    2,576/3,864 = 1,208/x
  3. Step 3: Cross multiply
    2,576x = 3,864 × 1,208
  4. Step 4: Simplify right side
    2,576x = 4,667,712
  5. Step 5: Solve for x
    x = 4,667,712/2,576
  6. Step 6: Final answer
    x = 1,812

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.