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Finding the Fourth Proportional to 1,944.12, 2,914.38 and 774.87

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Solution

The fourth proportional to 1,944.12, 2,914.38 and 774.87 is: 1,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.12 : 2,914.38 = 774.87 : x
  2. Step 2: Convert to fraction form
    1,944.12/2,914.38 = 774.87/x
  3. Step 3: Cross multiply
    1,944.12x = 2,914.38 × 774.87
  4. Step 4: Simplify right side
    1,944.12x = 2,258,265.63
  5. Step 5: Solve for x
    x = 2,258,265.63/1,944.12
  6. Step 6: Final answer
    x = 1,161.59

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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.