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Finding the Fourth Proportional to 6,722.74, 9,277.94 and 3,739.15

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Solution

The fourth proportional to 6,722.74, 9,277.94 and 3,739.15 is: 5,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.74 : 9,277.94 = 3,739.15 : x
  2. Step 2: Convert to fraction form
    6,722.74/9,277.94 = 3,739.15/x
  3. Step 3: Cross multiply
    6,722.74x = 9,277.94 × 3,739.15
  4. Step 4: Simplify right side
    6,722.74x = 34,691,609.35
  5. Step 5: Solve for x
    x = 34,691,609.35/6,722.74
  6. Step 6: Final answer
    x = 5,160.34

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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.