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Finding the Fourth Proportional to 3,975.96, 5,965 and 1,378.90

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Solution

The fourth proportional to 3,975.96, 5,965 and 1,378.90 is: 2,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.96 : 5,965 = 1,378.90 : x
  2. Step 2: Convert to fraction form
    3,975.96/5,965 = 1,378.90/x
  3. Step 3: Cross multiply
    3,975.96x = 5,965 × 1,378.90
  4. Step 4: Simplify right side
    3,975.96x = 8,225,108.68
  5. Step 5: Solve for x
    x = 8,225,108.68/3,975.96
  6. Step 6: Final answer
    x = 2,068.71

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1.5x scale

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.