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Finding the Fourth Proportional to 6,808.86, 9,395.91 and 3,783.84

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Solution

The fourth proportional to 6,808.86, 9,395.91 and 3,783.84 is: 5,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.86 : 9,395.91 = 3,783.84 : x
  2. Step 2: Convert to fraction form
    6,808.86/9,395.91 = 3,783.84/x
  3. Step 3: Cross multiply
    6,808.86x = 9,395.91 × 3,783.84
  4. Step 4: Simplify right side
    6,808.86x = 35,552,620.09
  5. Step 5: Solve for x
    x = 35,552,620.09/6,808.86
  6. Step 6: Final answer
    x = 5,221.52

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1.5x scale

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.