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Finding the Fourth Proportional to 1,944.95, 2,917.61 and 774.67

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Solution

The fourth proportional to 1,944.95, 2,917.61 and 774.67 is: 1,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.95 : 2,917.61 = 774.67 : x
  2. Step 2: Convert to fraction form
    1,944.95/2,917.61 = 774.67/x
  3. Step 3: Cross multiply
    1,944.95x = 2,917.61 × 774.67
  4. Step 4: Simplify right side
    1,944.95x = 2,260,183.00
  5. Step 5: Solve for x
    x = 2,260,183.00/1,944.95
  6. Step 6: Final answer
    x = 1,162.08

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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.