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Finding the Fourth Proportional to 1,940.71, 2,911.08 and 829.97

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Solution

The fourth proportional to 1,940.71, 2,911.08 and 829.97 is: 1,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.71 : 2,911.08 = 829.97 : x
  2. Step 2: Convert to fraction form
    1,940.71/2,911.08 = 829.97/x
  3. Step 3: Cross multiply
    1,940.71x = 2,911.08 × 829.97
  4. Step 4: Simplify right side
    1,940.71x = 2,416,099.71
  5. Step 5: Solve for x
    x = 2,416,099.71/1,940.71
  6. Step 6: Final answer
    x = 1,244.95

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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.