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Finding the Fourth Proportional to 3,907, 5,391.66 and 2,138.50

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Solution

The fourth proportional to 3,907, 5,391.66 and 2,138.50 is: 2,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907 : 5,391.66 = 2,138.50 : x
  2. Step 2: Convert to fraction form
    3,907/5,391.66 = 2,138.50/x
  3. Step 3: Cross multiply
    3,907x = 5,391.66 × 2,138.50
  4. Step 4: Simplify right side
    3,907x = 11,530,064.91
  5. Step 5: Solve for x
    x = 11,530,064.91/3,907
  6. Step 6: Final answer
    x = 2,951.13

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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.