Home / 4,075-5,623.50-2,680.24

Finding the Fourth Proportional to 4,075, 5,623.50 and 2,680.24

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Solution

The fourth proportional to 4,075, 5,623.50 and 2,680.24 is: 3,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075 : 5,623.50 = 2,680.24 : x
  2. Step 2: Convert to fraction form
    4,075/5,623.50 = 2,680.24/x
  3. Step 3: Cross multiply
    4,075x = 5,623.50 × 2,680.24
  4. Step 4: Simplify right side
    4,075x = 15,072,329.64
  5. Step 5: Solve for x
    x = 15,072,329.64/4,075
  6. Step 6: Final answer
    x = 3,698.73

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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.