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Finding the Fourth Proportional to 6.45, 9.68 and 5.12

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Solution

The fourth proportional to 6.45, 9.68 and 5.12 is: 7.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.45 : 9.68 = 5.12 : x
  2. Step 2: Convert to fraction form
    6.45/9.68 = 5.12/x
  3. Step 3: Cross multiply
    6.45x = 9.68 × 5.12
  4. Step 4: Simplify right side
    6.45x = 49.49
  5. Step 5: Solve for x
    x = 49.49/6.45
  6. Step 6: Final answer
    x = 7.67

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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.