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Finding the Fourth Proportional to 1,819.89, 2,730.87 and 1,203.89

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Solution

The fourth proportional to 1,819.89, 2,730.87 and 1,203.89 is: 1,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.89 : 2,730.87 = 1,203.89 : x
  2. Step 2: Convert to fraction form
    1,819.89/2,730.87 = 1,203.89/x
  3. Step 3: Cross multiply
    1,819.89x = 2,730.87 × 1,203.89
  4. Step 4: Simplify right side
    1,819.89x = 3,287,653.43
  5. Step 5: Solve for x
    x = 3,287,653.43/1,819.89
  6. Step 6: Final answer
    x = 1,806.51

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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.