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Finding the Fourth Proportional to 6,778.72, 9,354.36 and 3,754

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Solution

The fourth proportional to 6,778.72, 9,354.36 and 3,754 is: 5,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.72 : 9,354.36 = 3,754 : x
  2. Step 2: Convert to fraction form
    6,778.72/9,354.36 = 3,754/x
  3. Step 3: Cross multiply
    6,778.72x = 9,354.36 × 3,754
  4. Step 4: Simplify right side
    6,778.72x = 35,116,267.44
  5. Step 5: Solve for x
    x = 35,116,267.44/6,778.72
  6. Step 6: Final answer
    x = 5,180.37

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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.