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Finding the Fourth Proportional to 9,164.43, 13,723.38 and 7,679.75

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Solution

The fourth proportional to 9,164.43, 13,723.38 and 7,679.75 is: 11,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.43 : 13,723.38 = 7,679.75 : x
  2. Step 2: Convert to fraction form
    9,164.43/13,723.38 = 7,679.75/x
  3. Step 3: Cross multiply
    9,164.43x = 13,723.38 × 7,679.75
  4. Step 4: Simplify right side
    9,164.43x = 105,392,127.56
  5. Step 5: Solve for x
    x = 105,392,127.56/9,164.43
  6. Step 6: Final answer
    x = 11,500.13

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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.