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Finding the Fourth Proportional to 1,918.27, 2,874.73 and 930.68

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Solution

The fourth proportional to 1,918.27, 2,874.73 and 930.68 is: 1,394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.27 : 2,874.73 = 930.68 : x
  2. Step 2: Convert to fraction form
    1,918.27/2,874.73 = 930.68/x
  3. Step 3: Cross multiply
    1,918.27x = 2,874.73 × 930.68
  4. Step 4: Simplify right side
    1,918.27x = 2,675,453.72
  5. Step 5: Solve for x
    x = 2,675,453.72/1,918.27
  6. Step 6: Final answer
    x = 1,394.72

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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.