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Finding the Fourth Proportional to 3,837, 5,756.85 and 1,890.57

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Solution

The fourth proportional to 3,837, 5,756.85 and 1,890.57 is: 2,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837 : 5,756.85 = 1,890.57 : x
  2. Step 2: Convert to fraction form
    3,837/5,756.85 = 1,890.57/x
  3. Step 3: Cross multiply
    3,837x = 5,756.85 × 1,890.57
  4. Step 4: Simplify right side
    3,837x = 10,883,727.90
  5. Step 5: Solve for x
    x = 10,883,727.90/3,837
  6. Step 6: Final answer
    x = 2,836.52

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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.