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Finding the Fourth Proportional to 11,959, 16,503.42 and 6,991

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Solution

The fourth proportional to 11,959, 16,503.42 and 6,991 is: 9,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959 : 16,503.42 = 6,991 : x
  2. Step 2: Convert to fraction form
    11,959/16,503.42 = 6,991/x
  3. Step 3: Cross multiply
    11,959x = 16,503.42 × 6,991
  4. Step 4: Simplify right side
    11,959x = 115,375,409.22
  5. Step 5: Solve for x
    x = 115,375,409.22/11,959
  6. Step 6: Final answer
    x = 9,647.58

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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.