Home / 4,056-6,075.36-3,828.80

Finding the Fourth Proportional to 4,056, 6,075.36 and 3,828.80

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Solution

The fourth proportional to 4,056, 6,075.36 and 3,828.80 is: 5,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056 : 6,075.36 = 3,828.80 : x
  2. Step 2: Convert to fraction form
    4,056/6,075.36 = 3,828.80/x
  3. Step 3: Cross multiply
    4,056x = 6,075.36 × 3,828.80
  4. Step 4: Simplify right side
    4,056x = 23,261,338.37
  5. Step 5: Solve for x
    x = 23,261,338.37/4,056
  6. Step 6: Final answer
    x = 5,735.04

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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.