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Finding the Fourth Proportional to 3,934, 5,901 and 1,625.56

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Solution

The fourth proportional to 3,934, 5,901 and 1,625.56 is: 2,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934 : 5,901 = 1,625.56 : x
  2. Step 2: Convert to fraction form
    3,934/5,901 = 1,625.56/x
  3. Step 3: Cross multiply
    3,934x = 5,901 × 1,625.56
  4. Step 4: Simplify right side
    3,934x = 9,592,429.56
  5. Step 5: Solve for x
    x = 9,592,429.56/3,934
  6. Step 6: Final answer
    x = 2,438.34

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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.