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Finding the Fourth Proportional to 2,741.69, 4,114.22 and 1,280.99

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Solution

The fourth proportional to 2,741.69, 4,114.22 and 1,280.99 is: 1,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.69 : 4,114.22 = 1,280.99 : x
  2. Step 2: Convert to fraction form
    2,741.69/4,114.22 = 1,280.99/x
  3. Step 3: Cross multiply
    2,741.69x = 4,114.22 × 1,280.99
  4. Step 4: Simplify right side
    2,741.69x = 5,270,247.70
  5. Step 5: Solve for x
    x = 5,270,247.70/2,741.69
  6. Step 6: Final answer
    x = 1,922.27

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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.