Home / 2,771.26-4,157.49-823.34

Finding the Fourth Proportional to 2,771.26, 4,157.49 and 823.34

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Solution

The fourth proportional to 2,771.26, 4,157.49 and 823.34 is: 1,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.26 : 4,157.49 = 823.34 : x
  2. Step 2: Convert to fraction form
    2,771.26/4,157.49 = 823.34/x
  3. Step 3: Cross multiply
    2,771.26x = 4,157.49 × 823.34
  4. Step 4: Simplify right side
    2,771.26x = 3,423,027.82
  5. Step 5: Solve for x
    x = 3,423,027.82/2,771.26
  6. Step 6: Final answer
    x = 1,235.19

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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.