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Finding the Fourth Proportional to 3,907.69, 5,384.82 and 2,786.65

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Solution

The fourth proportional to 3,907.69, 5,384.82 and 2,786.65 is: 3,840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.69 : 5,384.82 = 2,786.65 : x
  2. Step 2: Convert to fraction form
    3,907.69/5,384.82 = 2,786.65/x
  3. Step 3: Cross multiply
    3,907.69x = 5,384.82 × 2,786.65
  4. Step 4: Simplify right side
    3,907.69x = 15,005,608.65
  5. Step 5: Solve for x
    x = 15,005,608.65/3,907.69
  6. Step 6: Final answer
    x = 3,840.02

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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.