To find out how much money the stadium made from the sale of children's tickets, we first need to determine the number of adult tickets and children's tickets sold.
1. **Calculate the number of adult tickets sold:**
\[
\text{Adult tickets} = \frac{3}{4} \times \text{Total tickets} = \frac{3}{4} \times 1200 = 900
\]
2. **Calculate the number of children's tickets sold:**
\[
\text{Children's tickets} = \text{Total tickets} - \text{Adult tickets} = 1200 - 900 = 300
\]
3. **Determine the cost of children's tickets:**
The cost of children's tickets is \( \frac{2}{3} \) of the cost of adult tickets, which are $25.50 each.
\[
\text{Cost of children's tickets} = \frac{2}{3} \times 25.50
\]
Calculating this:
\[
\frac{2}{3} \times 25.50 = \frac{51.00}{3} = 17.00
\]
4. **Calculate the money made from the sale of children's tickets:**
\[
\text{Total money from children's tickets} = \text{Children's tickets} \times \text{Cost of children's tickets}
\]
\[
\text{Total money} = 300 \times 17.00 = 5100
\]
Therefore, the stadium made **$5,100** from the sale of children's tickets.