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Finding the Fourth Proportional to 2,856.09, 3,940.24 and 1,861

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Solution

The fourth proportional to 2,856.09, 3,940.24 and 1,861 is: 2,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.09 : 3,940.24 = 1,861 : x
  2. Step 2: Convert to fraction form
    2,856.09/3,940.24 = 1,861/x
  3. Step 3: Cross multiply
    2,856.09x = 3,940.24 × 1,861
  4. Step 4: Simplify right side
    2,856.09x = 7,332,781.99
  5. Step 5: Solve for x
    x = 7,332,781.99/2,856.09
  6. Step 6: Final answer
    x = 2,567.42

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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.