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Finding the Fourth Proportional to 1,819.35, 2,727.63 and 844.74

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Solution

The fourth proportional to 1,819.35, 2,727.63 and 844.74 is: 1,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.35 : 2,727.63 = 844.74 : x
  2. Step 2: Convert to fraction form
    1,819.35/2,727.63 = 844.74/x
  3. Step 3: Cross multiply
    1,819.35x = 2,727.63 × 844.74
  4. Step 4: Simplify right side
    1,819.35x = 2,304,138.17
  5. Step 5: Solve for x
    x = 2,304,138.17/1,819.35
  6. Step 6: Final answer
    x = 1,266.46

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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.