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Finding the Fourth Proportional to 1,676.73, 2,516.47 and 1,214.73

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Solution

The fourth proportional to 1,676.73, 2,516.47 and 1,214.73 is: 1,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.73 : 2,516.47 = 1,214.73 : x
  2. Step 2: Convert to fraction form
    1,676.73/2,516.47 = 1,214.73/x
  3. Step 3: Cross multiply
    1,676.73x = 2,516.47 × 1,214.73
  4. Step 4: Simplify right side
    1,676.73x = 3,056,828.57
  5. Step 5: Solve for x
    x = 3,056,828.57/1,676.73
  6. Step 6: Final answer
    x = 1,823.09

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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.