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Finding the Fourth Proportional to 6,398.84, 9,608.70 and 3,949.25

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Solution

The fourth proportional to 6,398.84, 9,608.70 and 3,949.25 is: 5,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.84 : 9,608.70 = 3,949.25 : x
  2. Step 2: Convert to fraction form
    6,398.84/9,608.70 = 3,949.25/x
  3. Step 3: Cross multiply
    6,398.84x = 9,608.70 × 3,949.25
  4. Step 4: Simplify right side
    6,398.84x = 37,947,110.43
  5. Step 5: Solve for x
    x = 37,947,110.43/6,398.84
  6. Step 6: Final answer
    x = 5,930.32

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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.