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Finding the Fourth Proportional to 2,624.36, 3,936.20 and 775.67

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Solution

The fourth proportional to 2,624.36, 3,936.20 and 775.67 is: 1,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.36 : 3,936.20 = 775.67 : x
  2. Step 2: Convert to fraction form
    2,624.36/3,936.20 = 775.67/x
  3. Step 3: Cross multiply
    2,624.36x = 3,936.20 × 775.67
  4. Step 4: Simplify right side
    2,624.36x = 3,053,168.69
  5. Step 5: Solve for x
    x = 3,053,168.69/2,624.36
  6. Step 6: Final answer
    x = 1,163.40

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1.5x scale

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.