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Finding the Fourth Proportional to 11,813, 16,304.10 and 6,845

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Solution

The fourth proportional to 11,813, 16,304.10 and 6,845 is: 9,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813 : 16,304.10 = 6,845 : x
  2. Step 2: Convert to fraction form
    11,813/16,304.10 = 6,845/x
  3. Step 3: Cross multiply
    11,813x = 16,304.10 × 6,845
  4. Step 4: Simplify right side
    11,813x = 111,601,564.50
  5. Step 5: Solve for x
    x = 111,601,564.50/11,813
  6. Step 6: Final answer
    x = 9,447.35

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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.