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Finding the Fourth Proportional to 11,989, 16,546.26 and 7,021

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Solution

The fourth proportional to 11,989, 16,546.26 and 7,021 is: 9,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989 : 16,546.26 = 7,021 : x
  2. Step 2: Convert to fraction form
    11,989/16,546.26 = 7,021/x
  3. Step 3: Cross multiply
    11,989x = 16,546.26 × 7,021
  4. Step 4: Simplify right side
    11,989x = 116,171,291.46
  5. Step 5: Solve for x
    x = 116,171,291.46/11,989
  6. Step 6: Final answer
    x = 9,689.82

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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.