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Finding the Fourth Proportional to 6,728.40, 9,284.11 and 3,744.22

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Solution

The fourth proportional to 6,728.40, 9,284.11 and 3,744.22 is: 5,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.40 : 9,284.11 = 3,744.22 : x
  2. Step 2: Convert to fraction form
    6,728.40/9,284.11 = 3,744.22/x
  3. Step 3: Cross multiply
    6,728.40x = 9,284.11 × 3,744.22
  4. Step 4: Simplify right side
    6,728.40x = 34,761,750.34
  5. Step 5: Solve for x
    x = 34,761,750.34/6,728.40
  6. Step 6: Final answer
    x = 5,166.42

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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.