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Finding the Fourth Proportional to 6,940.97, 10,394.78 and 3,970.41

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Solution

The fourth proportional to 6,940.97, 10,394.78 and 3,970.41 is: 5,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.97 : 10,394.78 = 3,970.41 : x
  2. Step 2: Convert to fraction form
    6,940.97/10,394.78 = 3,970.41/x
  3. Step 3: Cross multiply
    6,940.97x = 10,394.78 × 3,970.41
  4. Step 4: Simplify right side
    6,940.97x = 41,271,518.61
  5. Step 5: Solve for x
    x = 41,271,518.61/6,940.97
  6. Step 6: Final answer
    x = 5,946.07

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1.5x scale

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.