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Finding the Fourth Proportional to 3,950, 5,925 and 1,353.14

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Solution

The fourth proportional to 3,950, 5,925 and 1,353.14 is: 2,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950 : 5,925 = 1,353.14 : x
  2. Step 2: Convert to fraction form
    3,950/5,925 = 1,353.14/x
  3. Step 3: Cross multiply
    3,950x = 5,925 × 1,353.14
  4. Step 4: Simplify right side
    3,950x = 8,017,354.50
  5. Step 5: Solve for x
    x = 8,017,354.50/3,950
  6. Step 6: Final answer
    x = 2,029.71

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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.