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Finding the Fourth Proportional to 3,907.08, 5,392 and 2,228.82

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Solution

The fourth proportional to 3,907.08, 5,392 and 2,228.82 is: 3,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.08 : 5,392 = 2,228.82 : x
  2. Step 2: Convert to fraction form
    3,907.08/5,392 = 2,228.82/x
  3. Step 3: Cross multiply
    3,907.08x = 5,392 × 2,228.82
  4. Step 4: Simplify right side
    3,907.08x = 12,017,797.44
  5. Step 5: Solve for x
    x = 12,017,797.44/3,907.08
  6. Step 6: Final answer
    x = 3,075.90

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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.