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Finding the Fourth Proportional to 6,418.67, 9,628.01 and 1,738.70

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Solution

The fourth proportional to 6,418.67, 9,628.01 and 1,738.70 is: 2,608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.67 : 9,628.01 = 1,738.70 : x
  2. Step 2: Convert to fraction form
    6,418.67/9,628.01 = 1,738.70/x
  3. Step 3: Cross multiply
    6,418.67x = 9,628.01 × 1,738.70
  4. Step 4: Simplify right side
    6,418.67x = 16,740,164.15
  5. Step 5: Solve for x
    x = 16,740,164.15/6,418.67
  6. Step 6: Final answer
    x = 2,608.04

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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.