Home / 6,057-9,075.78-3,131.64

Finding the Fourth Proportional to 6,057, 9,075.78 and 3,131.64

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Solution

The fourth proportional to 6,057, 9,075.78 and 3,131.64 is: 4,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057 : 9,075.78 = 3,131.64 : x
  2. Step 2: Convert to fraction form
    6,057/9,075.78 = 3,131.64/x
  3. Step 3: Cross multiply
    6,057x = 9,075.78 × 3,131.64
  4. Step 4: Simplify right side
    6,057x = 28,422,075.68
  5. Step 5: Solve for x
    x = 28,422,075.68/6,057
  6. Step 6: Final answer
    x = 4,692.43

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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.