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Finding the Fourth Proportional to 2,861, 3,948.24 and 1,619

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Solution

The fourth proportional to 2,861, 3,948.24 and 1,619 is: 2,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861 : 3,948.24 = 1,619 : x
  2. Step 2: Convert to fraction form
    2,861/3,948.24 = 1,619/x
  3. Step 3: Cross multiply
    2,861x = 3,948.24 × 1,619
  4. Step 4: Simplify right side
    2,861x = 6,392,200.56
  5. Step 5: Solve for x
    x = 6,392,200.56/2,861
  6. Step 6: Final answer
    x = 2,234.25

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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.