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Finding the Fourth Proportional to 11,914.89, 17,854.10 and 6,369.02

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Solution

The fourth proportional to 11,914.89, 17,854.10 and 6,369.02 is: 9,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.89 : 17,854.10 = 6,369.02 : x
  2. Step 2: Convert to fraction form
    11,914.89/17,854.10 = 6,369.02/x
  3. Step 3: Cross multiply
    11,914.89x = 17,854.10 × 6,369.02
  4. Step 4: Simplify right side
    11,914.89x = 113,713,119.98
  5. Step 5: Solve for x
    x = 113,713,119.98/11,914.89
  6. Step 6: Final answer
    x = 9,543.78

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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.