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Finding the Fourth Proportional to 1,923.26, 2,884.46 and 936.05

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Solution

The fourth proportional to 1,923.26, 2,884.46 and 936.05 is: 1,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.26 : 2,884.46 = 936.05 : x
  2. Step 2: Convert to fraction form
    1,923.26/2,884.46 = 936.05/x
  3. Step 3: Cross multiply
    1,923.26x = 2,884.46 × 936.05
  4. Step 4: Simplify right side
    1,923.26x = 2,699,979.68
  5. Step 5: Solve for x
    x = 2,699,979.68/1,923.26
  6. Step 6: Final answer
    x = 1,403.86

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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.