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Finding the Fourth Proportional to 1,971.72, 2,704.68 and 1,930.73

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Solution

The fourth proportional to 1,971.72, 2,704.68 and 1,930.73 is: 2,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.72 : 2,704.68 = 1,930.73 : x
  2. Step 2: Convert to fraction form
    1,971.72/2,704.68 = 1,930.73/x
  3. Step 3: Cross multiply
    1,971.72x = 2,704.68 × 1,930.73
  4. Step 4: Simplify right side
    1,971.72x = 5,221,993.29
  5. Step 5: Solve for x
    x = 5,221,993.29/1,971.72
  6. Step 6: Final answer
    x = 2,648.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.