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Finding the Fourth Proportional to 3,975.37, 5,964.74 and 2,126

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Solution

The fourth proportional to 3,975.37, 5,964.74 and 2,126 is: 3,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.37 : 5,964.74 = 2,126 : x
  2. Step 2: Convert to fraction form
    3,975.37/5,964.74 = 2,126/x
  3. Step 3: Cross multiply
    3,975.37x = 5,964.74 × 2,126
  4. Step 4: Simplify right side
    3,975.37x = 12,681,026.61
  5. Step 5: Solve for x
    x = 12,681,026.61/3,975.37
  6. Step 6: Final answer
    x = 3,189.90

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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.