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Finding the Fourth Proportional to 7,670.81, 11,512.37 and 3,974.09

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Solution

The fourth proportional to 7,670.81, 11,512.37 and 3,974.09 is: 5,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.81 : 11,512.37 = 3,974.09 : x
  2. Step 2: Convert to fraction form
    7,670.81/11,512.37 = 3,974.09/x
  3. Step 3: Cross multiply
    7,670.81x = 11,512.37 × 3,974.09
  4. Step 4: Simplify right side
    7,670.81x = 45,751,117.06
  5. Step 5: Solve for x
    x = 45,751,117.06/7,670.81
  6. Step 6: Final answer
    x = 5,964.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.