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Finding the Fourth Proportional to 6,783.49, 9,361 and 3,758.49

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Solution

The fourth proportional to 6,783.49, 9,361 and 3,758.49 is: 5,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.49 : 9,361 = 3,758.49 : x
  2. Step 2: Convert to fraction form
    6,783.49/9,361 = 3,758.49/x
  3. Step 3: Cross multiply
    6,783.49x = 9,361 × 3,758.49
  4. Step 4: Simplify right side
    6,783.49x = 35,183,178.09
  5. Step 5: Solve for x
    x = 35,183,178.09/6,783.49
  6. Step 6: Final answer
    x = 5,186.59

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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.