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Finding the Fourth Proportional to 1,993.40, 3,003.41 and 1,835.96

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Solution

The fourth proportional to 1,993.40, 3,003.41 and 1,835.96 is: 2,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.40 : 3,003.41 = 1,835.96 : x
  2. Step 2: Convert to fraction form
    1,993.40/3,003.41 = 1,835.96/x
  3. Step 3: Cross multiply
    1,993.40x = 3,003.41 × 1,835.96
  4. Step 4: Simplify right side
    1,993.40x = 5,514,140.62
  5. Step 5: Solve for x
    x = 5,514,140.62/1,993.40
  6. Step 6: Final answer
    x = 2,766.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.