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Finding the Fourth Proportional to 2,161.34, 2,982.56 and 1,323.44

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Solution

The fourth proportional to 2,161.34, 2,982.56 and 1,323.44 is: 1,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.34 : 2,982.56 = 1,323.44 : x
  2. Step 2: Convert to fraction form
    2,161.34/2,982.56 = 1,323.44/x
  3. Step 3: Cross multiply
    2,161.34x = 2,982.56 × 1,323.44
  4. Step 4: Simplify right side
    2,161.34x = 3,947,217.68
  5. Step 5: Solve for x
    x = 3,947,217.68/2,161.34
  6. Step 6: Final answer
    x = 1,826.29

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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.