Understanding the Scales

* Kelvin (K): An absolute temperature scale where 0 K represents absolute zero (the theoretical point of zero thermal energy).

* Fahrenheit (°F): A relative temperature scale where the freezing point of water is 32°F and the boiling point is 212°F.

Conversion Formulas

* Celsius (°C) to Kelvin (K): K = °C + 273.15

* Celsius (°C) to Fahrenheit (°F): °F = (°C * 9/5) + 32

Setting Up the Equation

Let 'x' be the temperature in Kelvin. We want to find the temperature where:

x = 3 * (°F)

Solving for x

1. Convert Kelvin to Celsius: x - 273.15 = °C

2. Convert Celsius to Fahrenheit: °F = ((x - 273.15) * 9/5) + 32

3. Substitute into our original equation: x = 3 * (((x - 273.15) * 9/5) + 32)

4. Simplify and solve for x:

* x = (27/5)x - 1479.68 + 96

* (8/5)x = 1383.68

* x = 864.8 K

Therefore, a reading on the Kelvin scale will be three times the Fahrenheit scale at approximately 864.8 K.