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Finding the Fourth Proportional to 2,624.92, 3,936.66 and 775.96

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Solution

The fourth proportional to 2,624.92, 3,936.66 and 775.96 is: 1,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.92 : 3,936.66 = 775.96 : x
  2. Step 2: Convert to fraction form
    2,624.92/3,936.66 = 775.96/x
  3. Step 3: Cross multiply
    2,624.92x = 3,936.66 × 775.96
  4. Step 4: Simplify right side
    2,624.92x = 3,054,690.69
  5. Step 5: Solve for x
    x = 3,054,690.69/2,624.92
  6. Step 6: Final answer
    x = 1,163.73

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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.