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Finding the Fourth Proportional to 3,147.06, 4,720.83 and 838.50

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Solution

The fourth proportional to 3,147.06, 4,720.83 and 838.50 is: 1,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.06 : 4,720.83 = 838.50 : x
  2. Step 2: Convert to fraction form
    3,147.06/4,720.83 = 838.50/x
  3. Step 3: Cross multiply
    3,147.06x = 4,720.83 × 838.50
  4. Step 4: Simplify right side
    3,147.06x = 3,958,415.96
  5. Step 5: Solve for x
    x = 3,958,415.96/3,147.06
  6. Step 6: Final answer
    x = 1,257.81

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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.