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Finding the Fourth Proportional to 6,725, 9,280.50 and 3,781

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Solution

The fourth proportional to 6,725, 9,280.50 and 3,781 is: 5,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725 : 9,280.50 = 3,781 : x
  2. Step 2: Convert to fraction form
    6,725/9,280.50 = 3,781/x
  3. Step 3: Cross multiply
    6,725x = 9,280.50 × 3,781
  4. Step 4: Simplify right side
    6,725x = 35,089,570.50
  5. Step 5: Solve for x
    x = 35,089,570.50/6,725
  6. Step 6: Final answer
    x = 5,217.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.