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Finding the Fourth Proportional to 3,864, 5,796 and 1,812

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Solution

The fourth proportional to 3,864, 5,796 and 1,812 is: 2,718

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864 : 5,796 = 1,812 : x
  2. Step 2: Convert to fraction form
    3,864/5,796 = 1,812/x
  3. Step 3: Cross multiply
    3,864x = 5,796 × 1,812
  4. Step 4: Simplify right side
    3,864x = 10,502,352
  5. Step 5: Solve for x
    x = 10,502,352/3,864
  6. Step 6: Final answer
    x = 2,718

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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.