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Finding the Fourth Proportional to 2,845.54, 4,269.41 and 996.86

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Solution

The fourth proportional to 2,845.54, 4,269.41 and 996.86 is: 1,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.54 : 4,269.41 = 996.86 : x
  2. Step 2: Convert to fraction form
    2,845.54/4,269.41 = 996.86/x
  3. Step 3: Cross multiply
    2,845.54x = 4,269.41 × 996.86
  4. Step 4: Simplify right side
    2,845.54x = 4,256,004.05
  5. Step 5: Solve for x
    x = 4,256,004.05/2,845.54
  6. Step 6: Final answer
    x = 1,495.68

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1.5x scale

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.