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Finding the Fourth Proportional to 11,918.25, 16,447.19 and 7,726.50

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Solution

The fourth proportional to 11,918.25, 16,447.19 and 7,726.50 is: 10,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.25 : 16,447.19 = 7,726.50 : x
  2. Step 2: Convert to fraction form
    11,918.25/16,447.19 = 7,726.50/x
  3. Step 3: Cross multiply
    11,918.25x = 16,447.19 × 7,726.50
  4. Step 4: Simplify right side
    11,918.25x = 127,079,174.90
  5. Step 5: Solve for x
    x = 127,079,174.90/11,918.25
  6. Step 6: Final answer
    x = 10,662.57

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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.