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Finding the Fourth Proportional to 2,858.63, 4,283.82 and 2,075.22

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Solution

The fourth proportional to 2,858.63, 4,283.82 and 2,075.22 is: 3,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.63 : 4,283.82 = 2,075.22 : x
  2. Step 2: Convert to fraction form
    2,858.63/4,283.82 = 2,075.22/x
  3. Step 3: Cross multiply
    2,858.63x = 4,283.82 × 2,075.22
  4. Step 4: Simplify right side
    2,858.63x = 8,889,868.94
  5. Step 5: Solve for x
    x = 8,889,868.94/2,858.63
  6. Step 6: Final answer
    x = 3,109.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.