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Finding the Fourth Proportional to 3,812, 5,260.72 and 2,156

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Solution

The fourth proportional to 3,812, 5,260.72 and 2,156 is: 2,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812 : 5,260.72 = 2,156 : x
  2. Step 2: Convert to fraction form
    3,812/5,260.72 = 2,156/x
  3. Step 3: Cross multiply
    3,812x = 5,260.72 × 2,156
  4. Step 4: Simplify right side
    3,812x = 11,342,112.32
  5. Step 5: Solve for x
    x = 11,342,112.32/3,812
  6. Step 6: Final answer
    x = 2,975.37

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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.