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Finding the Fourth Proportional to 2,889.14, 3,986.75 and 1,769.85

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Solution

The fourth proportional to 2,889.14, 3,986.75 and 1,769.85 is: 2,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.14 : 3,986.75 = 1,769.85 : x
  2. Step 2: Convert to fraction form
    2,889.14/3,986.75 = 1,769.85/x
  3. Step 3: Cross multiply
    2,889.14x = 3,986.75 × 1,769.85
  4. Step 4: Simplify right side
    2,889.14x = 7,055,940.64
  5. Step 5: Solve for x
    x = 7,055,940.64/2,889.14
  6. Step 6: Final answer
    x = 2,442.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.