Home / 1,982.36-2,975.22-1,105.71

Finding the Fourth Proportional to 1,982.36, 2,975.22 and 1,105.71

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Solution

The fourth proportional to 1,982.36, 2,975.22 and 1,105.71 is: 1,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.36 : 2,975.22 = 1,105.71 : x
  2. Step 2: Convert to fraction form
    1,982.36/2,975.22 = 1,105.71/x
  3. Step 3: Cross multiply
    1,982.36x = 2,975.22 × 1,105.71
  4. Step 4: Simplify right side
    1,982.36x = 3,289,730.51
  5. Step 5: Solve for x
    x = 3,289,730.51/1,982.36
  6. Step 6: Final answer
    x = 1,659.51

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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.