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Finding the Fourth Proportional to 2,861, 3,948.42 and 1,619.24

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Solution

The fourth proportional to 2,861, 3,948.42 and 1,619.24 is: 2,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861 : 3,948.42 = 1,619.24 : x
  2. Step 2: Convert to fraction form
    2,861/3,948.42 = 1,619.24/x
  3. Step 3: Cross multiply
    2,861x = 3,948.42 × 1,619.24
  4. Step 4: Simplify right side
    2,861x = 6,393,439.60
  5. Step 5: Solve for x
    x = 6,393,439.60/2,861
  6. Step 6: Final answer
    x = 2,234.69

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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.