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Finding the Fourth Proportional to 2,738.26, 4,107.38 and 686.26

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Solution

The fourth proportional to 2,738.26, 4,107.38 and 686.26 is: 1,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.26 : 4,107.38 = 686.26 : x
  2. Step 2: Convert to fraction form
    2,738.26/4,107.38 = 686.26/x
  3. Step 3: Cross multiply
    2,738.26x = 4,107.38 × 686.26
  4. Step 4: Simplify right side
    2,738.26x = 2,818,730.60
  5. Step 5: Solve for x
    x = 2,818,730.60/2,738.26
  6. Step 6: Final answer
    x = 1,029.39

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1.5x scale

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.