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Finding the Fourth Proportional to 1,673.73, 2,508.54 and 1,213.09

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Solution

The fourth proportional to 1,673.73, 2,508.54 and 1,213.09 is: 1,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.73 : 2,508.54 = 1,213.09 : x
  2. Step 2: Convert to fraction form
    1,673.73/2,508.54 = 1,213.09/x
  3. Step 3: Cross multiply
    1,673.73x = 2,508.54 × 1,213.09
  4. Step 4: Simplify right side
    1,673.73x = 3,043,073.97
  5. Step 5: Solve for x
    x = 3,043,073.97/1,673.73
  6. Step 6: Final answer
    x = 1,818.14

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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.