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Finding the Fourth Proportional to 6,725, 9,281.78 and 3,781

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Solution

The fourth proportional to 6,725, 9,281.78 and 3,781 is: 5,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725 : 9,281.78 = 3,781 : x
  2. Step 2: Convert to fraction form
    6,725/9,281.78 = 3,781/x
  3. Step 3: Cross multiply
    6,725x = 9,281.78 × 3,781
  4. Step 4: Simplify right side
    6,725x = 35,094,410.18
  5. Step 5: Solve for x
    x = 35,094,410.18/6,725
  6. Step 6: Final answer
    x = 5,218.50

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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.