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Finding the Fourth Proportional to 2,819.26, 4,228.77 and 739.22

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Solution

The fourth proportional to 2,819.26, 4,228.77 and 739.22 is: 1,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.26 : 4,228.77 = 739.22 : x
  2. Step 2: Convert to fraction form
    2,819.26/4,228.77 = 739.22/x
  3. Step 3: Cross multiply
    2,819.26x = 4,228.77 × 739.22
  4. Step 4: Simplify right side
    2,819.26x = 3,125,991.36
  5. Step 5: Solve for x
    x = 3,125,991.36/2,819.26
  6. Step 6: Final answer
    x = 1,108.80

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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.