Home / 6,738-9,297.30-3,753.74

Finding the Fourth Proportional to 6,738, 9,297.30 and 3,753.74

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Solution

The fourth proportional to 6,738, 9,297.30 and 3,753.74 is: 5,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738 : 9,297.30 = 3,753.74 : x
  2. Step 2: Convert to fraction form
    6,738/9,297.30 = 3,753.74/x
  3. Step 3: Cross multiply
    6,738x = 9,297.30 × 3,753.74
  4. Step 4: Simplify right side
    6,738x = 34,899,646.90
  5. Step 5: Solve for x
    x = 34,899,646.90/6,738
  6. Step 6: Final answer
    x = 5,179.53

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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.