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Finding the Fourth Proportional to 2,993.81, 4,130.36 and 1,999.73

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Solution

The fourth proportional to 2,993.81, 4,130.36 and 1,999.73 is: 2,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.81 : 4,130.36 = 1,999.73 : x
  2. Step 2: Convert to fraction form
    2,993.81/4,130.36 = 1,999.73/x
  3. Step 3: Cross multiply
    2,993.81x = 4,130.36 × 1,999.73
  4. Step 4: Simplify right side
    2,993.81x = 8,259,620.13
  5. Step 5: Solve for x
    x = 8,259,620.13/2,993.81
  6. Step 6: Final answer
    x = 2,758.90

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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.