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Finding the Fourth Proportional to 2,907.82, 4,011.15 and 1,729.27

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Solution

The fourth proportional to 2,907.82, 4,011.15 and 1,729.27 is: 2,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.82 : 4,011.15 = 1,729.27 : x
  2. Step 2: Convert to fraction form
    2,907.82/4,011.15 = 1,729.27/x
  3. Step 3: Cross multiply
    2,907.82x = 4,011.15 × 1,729.27
  4. Step 4: Simplify right side
    2,907.82x = 6,936,361.36
  5. Step 5: Solve for x
    x = 6,936,361.36/2,907.82
  6. Step 6: Final answer
    x = 2,385.42

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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.