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Finding the Fourth Proportional to 1,993.10, 2,749.08 and 1,620.08

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Solution

The fourth proportional to 1,993.10, 2,749.08 and 1,620.08 is: 2,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.10 : 2,749.08 = 1,620.08 : x
  2. Step 2: Convert to fraction form
    1,993.10/2,749.08 = 1,620.08/x
  3. Step 3: Cross multiply
    1,993.10x = 2,749.08 × 1,620.08
  4. Step 4: Simplify right side
    1,993.10x = 4,453,729.53
  5. Step 5: Solve for x
    x = 4,453,729.53/1,993.10
  6. Step 6: Final answer
    x = 2,234.57

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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.