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Finding the Fourth Proportional to 2,178.92, 2,995.84 and 1,940.66

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Solution

The fourth proportional to 2,178.92, 2,995.84 and 1,940.66 is: 2,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.92 : 2,995.84 = 1,940.66 : x
  2. Step 2: Convert to fraction form
    2,178.92/2,995.84 = 1,940.66/x
  3. Step 3: Cross multiply
    2,178.92x = 2,995.84 × 1,940.66
  4. Step 4: Simplify right side
    2,178.92x = 5,813,906.85
  5. Step 5: Solve for x
    x = 5,813,906.85/2,178.92
  6. Step 6: Final answer
    x = 2,668.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.