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Finding the Fourth Proportional to 3,907, 5,391.82 and 2,251

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Solution

The fourth proportional to 3,907, 5,391.82 and 2,251 is: 3,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907 : 5,391.82 = 2,251 : x
  2. Step 2: Convert to fraction form
    3,907/5,391.82 = 2,251/x
  3. Step 3: Cross multiply
    3,907x = 5,391.82 × 2,251
  4. Step 4: Simplify right side
    3,907x = 12,136,986.82
  5. Step 5: Solve for x
    x = 12,136,986.82/3,907
  6. Step 6: Final answer
    x = 3,106.47

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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.