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Finding the Fourth Proportional to 1,806.34, 2,709.84 and 819.62

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Solution

The fourth proportional to 1,806.34, 2,709.84 and 819.62 is: 1,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.34 : 2,709.84 = 819.62 : x
  2. Step 2: Convert to fraction form
    1,806.34/2,709.84 = 819.62/x
  3. Step 3: Cross multiply
    1,806.34x = 2,709.84 × 819.62
  4. Step 4: Simplify right side
    1,806.34x = 2,221,039.06
  5. Step 5: Solve for x
    x = 2,221,039.06/1,806.34
  6. Step 6: Final answer
    x = 1,229.58

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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.