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Finding the Fourth Proportional to 6,768.80, 9,341.13 and 3,784.64

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Solution

The fourth proportional to 6,768.80, 9,341.13 and 3,784.64 is: 5,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.80 : 9,341.13 = 3,784.64 : x
  2. Step 2: Convert to fraction form
    6,768.80/9,341.13 = 3,784.64/x
  3. Step 3: Cross multiply
    6,768.80x = 9,341.13 × 3,784.64
  4. Step 4: Simplify right side
    6,768.80x = 35,352,767.54
  5. Step 5: Solve for x
    x = 35,352,767.54/6,768.80
  6. Step 6: Final answer
    x = 5,222.90

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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.