Home / 2,075-2,865.96-1,514.54

Finding the Fourth Proportional to 2,075, 2,865.96 and 1,514.54

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Solution

The fourth proportional to 2,075, 2,865.96 and 1,514.54 is: 2,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075 : 2,865.96 = 1,514.54 : x
  2. Step 2: Convert to fraction form
    2,075/2,865.96 = 1,514.54/x
  3. Step 3: Cross multiply
    2,075x = 2,865.96 × 1,514.54
  4. Step 4: Simplify right side
    2,075x = 4,340,611.06
  5. Step 5: Solve for x
    x = 4,340,611.06/2,075
  6. Step 6: Final answer
    x = 2,091.86

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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.