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Finding the Fourth Proportional to 11,683.56, 16,126.38 and 7,211.16

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Solution

The fourth proportional to 11,683.56, 16,126.38 and 7,211.16 is: 9,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.56 : 16,126.38 = 7,211.16 : x
  2. Step 2: Convert to fraction form
    11,683.56/16,126.38 = 7,211.16/x
  3. Step 3: Cross multiply
    11,683.56x = 16,126.38 × 7,211.16
  4. Step 4: Simplify right side
    11,683.56x = 116,289,906.40
  5. Step 5: Solve for x
    x = 116,289,906.40/11,683.56
  6. Step 6: Final answer
    x = 9,953.29

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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.