Solve proportions

key notes :

🔢 What is a Proportion?

👉 A proportion shows that two ratios are equal.
✨ Example:

2/4 = 4/8

Both ratios mean the same thing ✔️

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⚖️ Parts of a Proportion

In a proportion:

a/b = c/d

• a and d are called extremes 🟡
• b and c are called means 🔵

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✖️ Cross Multiplication Rule

📌 To solve a proportion, cross multiply:

a/b = c/d ⇒ a×d = b×c

🧠 This helps find the missing value easily!

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🧩 Solving a Proportion with a Variable

Example:

3/5 = x/10

👉 Cross multiply:

3×10=5×x

30 x 10 = 5x

x = 6 🎉

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✅ Check Your Answer

🔍 Always substitute the value back to see if both ratios are equal.
✔️ If they match, your answer is correct!

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🌟 Real-Life Examples of Proportions

• 🍕 Recipes (ingredients ratio)
• 📏 Maps and scale drawings
• 💰 Money exchange
• 🕒 Speed and time problems

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🧠 Helpful Tips

✨ Keep fractions simplified
✨ Cross multiply carefully
✨ Units on both sides should match 📐

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🎯 Remember!

👉 Proportions help compare quantities fairly and accurately.
👉 Cross multiplication is the key tool 🔑

Learn with an example