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Finding the Fourth Proportional to 6,940.09, 10,410.80 and 1,942.47

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Solution

The fourth proportional to 6,940.09, 10,410.80 and 1,942.47 is: 2,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.09 : 10,410.80 = 1,942.47 : x
  2. Step 2: Convert to fraction form
    6,940.09/10,410.80 = 1,942.47/x
  3. Step 3: Cross multiply
    6,940.09x = 10,410.80 × 1,942.47
  4. Step 4: Simplify right side
    6,940.09x = 20,222,702.63
  5. Step 5: Solve for x
    x = 20,222,702.63/6,940.09
  6. Step 6: Final answer
    x = 2,913.90

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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.