Home / 1,993.09-2,982.66-1,406.74

Finding the Fourth Proportional to 1,993.09, 2,982.66 and 1,406.74

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Solution

The fourth proportional to 1,993.09, 2,982.66 and 1,406.74 is: 2,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.09 : 2,982.66 = 1,406.74 : x
  2. Step 2: Convert to fraction form
    1,993.09/2,982.66 = 1,406.74/x
  3. Step 3: Cross multiply
    1,993.09x = 2,982.66 × 1,406.74
  4. Step 4: Simplify right side
    1,993.09x = 4,195,827.13
  5. Step 5: Solve for x
    x = 4,195,827.13/1,993.09
  6. Step 6: Final answer
    x = 2,105.19

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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.