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Finding the Fourth Proportional to 20,940.52, 28,900.26 and 11,989

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Solution

The fourth proportional to 20,940.52, 28,900.26 and 11,989 is: 16,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,940.52 : 28,900.26 = 11,989 : x
  2. Step 2: Convert to fraction form
    20,940.52/28,900.26 = 11,989/x
  3. Step 3: Cross multiply
    20,940.52x = 28,900.26 × 11,989
  4. Step 4: Simplify right side
    20,940.52x = 346,485,217.14
  5. Step 5: Solve for x
    x = 346,485,217.14/20,940.52
  6. Step 6: Final answer
    x = 16,546.16

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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.