Home / 6,494-9,736.14-2,108.84

Finding the Fourth Proportional to 6,494, 9,736.14 and 2,108.84

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Solution

The fourth proportional to 6,494, 9,736.14 and 2,108.84 is: 3,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494 : 9,736.14 = 2,108.84 : x
  2. Step 2: Convert to fraction form
    6,494/9,736.14 = 2,108.84/x
  3. Step 3: Cross multiply
    6,494x = 9,736.14 × 2,108.84
  4. Step 4: Simplify right side
    6,494x = 20,531,961.48
  5. Step 5: Solve for x
    x = 20,531,961.48/6,494
  6. Step 6: Final answer
    x = 3,161.68

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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.