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Finding the Fourth Proportional to 8,674, 11,968.21 and 6,659.73

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Solution

The fourth proportional to 8,674, 11,968.21 and 6,659.73 is: 9,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674 : 11,968.21 = 6,659.73 : x
  2. Step 2: Convert to fraction form
    8,674/11,968.21 = 6,659.73/x
  3. Step 3: Cross multiply
    8,674x = 11,968.21 × 6,659.73
  4. Step 4: Simplify right side
    8,674x = 79,705,047.18
  5. Step 5: Solve for x
    x = 79,705,047.18/8,674
  6. Step 6: Final answer
    x = 9,188.96

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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.