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Finding the Fourth Proportional to 3,907, 5,861.94 and 2,058.04

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Solution

The fourth proportional to 3,907, 5,861.94 and 2,058.04 is: 3,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907 : 5,861.94 = 2,058.04 : x
  2. Step 2: Convert to fraction form
    3,907/5,861.94 = 2,058.04/x
  3. Step 3: Cross multiply
    3,907x = 5,861.94 × 2,058.04
  4. Step 4: Simplify right side
    3,907x = 12,064,107.00
  5. Step 5: Solve for x
    x = 12,064,107.00/3,907
  6. Step 6: Final answer
    x = 3,087.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.