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Finding the Fourth Proportional to 1,819.26, 2,726.75 and 843.31

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Solution

The fourth proportional to 1,819.26, 2,726.75 and 843.31 is: 1,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.26 : 2,726.75 = 843.31 : x
  2. Step 2: Convert to fraction form
    1,819.26/2,726.75 = 843.31/x
  3. Step 3: Cross multiply
    1,819.26x = 2,726.75 × 843.31
  4. Step 4: Simplify right side
    1,819.26x = 2,299,490.83
  5. Step 5: Solve for x
    x = 2,299,490.83/1,819.26
  6. Step 6: Final answer
    x = 1,263.97

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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.