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Finding the Fourth Proportional to 2,614.85, 3,923.49 and 971.97

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Solution

The fourth proportional to 2,614.85, 3,923.49 and 971.97 is: 1,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.85 : 3,923.49 = 971.97 : x
  2. Step 2: Convert to fraction form
    2,614.85/3,923.49 = 971.97/x
  3. Step 3: Cross multiply
    2,614.85x = 3,923.49 × 971.97
  4. Step 4: Simplify right side
    2,614.85x = 3,813,514.58
  5. Step 5: Solve for x
    x = 3,813,514.58/2,614.85
  6. Step 6: Final answer
    x = 1,458.41

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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.