Home / 2,771.48-4,157.26-823.70

Finding the Fourth Proportional to 2,771.48, 4,157.26 and 823.70

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Solution

The fourth proportional to 2,771.48, 4,157.26 and 823.70 is: 1,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.48 : 4,157.26 = 823.70 : x
  2. Step 2: Convert to fraction form
    2,771.48/4,157.26 = 823.70/x
  3. Step 3: Cross multiply
    2,771.48x = 4,157.26 × 823.70
  4. Step 4: Simplify right side
    2,771.48x = 3,424,343.40
  5. Step 5: Solve for x
    x = 3,424,343.40/2,771.48
  6. Step 6: Final answer
    x = 1,235.56

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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.