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Finding the Fourth Proportional to 3,812, 5,718 and 1,076

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Solution

The fourth proportional to 3,812, 5,718 and 1,076 is: 1,614

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812 : 5,718 = 1,076 : x
  2. Step 2: Convert to fraction form
    3,812/5,718 = 1,076/x
  3. Step 3: Cross multiply
    3,812x = 5,718 × 1,076
  4. Step 4: Simplify right side
    3,812x = 6,152,568
  5. Step 5: Solve for x
    x = 6,152,568/3,812
  6. Step 6: Final answer
    x = 1,614

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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.