Home / 2,771.82-4,157.76-923.04

Finding the Fourth Proportional to 2,771.82, 4,157.76 and 923.04

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Solution

The fourth proportional to 2,771.82, 4,157.76 and 923.04 is: 1,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.82 : 4,157.76 = 923.04 : x
  2. Step 2: Convert to fraction form
    2,771.82/4,157.76 = 923.04/x
  3. Step 3: Cross multiply
    2,771.82x = 4,157.76 × 923.04
  4. Step 4: Simplify right side
    2,771.82x = 3,837,778.79
  5. Step 5: Solve for x
    x = 3,837,778.79/2,771.82
  6. Step 6: Final answer
    x = 1,384.57

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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.