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Finding the Fourth Proportional to 1,993.77, 2,749.41 and 1,744.29

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Solution

The fourth proportional to 1,993.77, 2,749.41 and 1,744.29 is: 2,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.77 : 2,749.41 = 1,744.29 : x
  2. Step 2: Convert to fraction form
    1,993.77/2,749.41 = 1,744.29/x
  3. Step 3: Cross multiply
    1,993.77x = 2,749.41 × 1,744.29
  4. Step 4: Simplify right side
    1,993.77x = 4,795,768.37
  5. Step 5: Solve for x
    x = 4,795,768.37/1,993.77
  6. Step 6: Final answer
    x = 2,405.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.