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Finding the Fourth Proportional to 20,978.28, 28,949.09 and 11,418.21

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Solution

The fourth proportional to 20,978.28, 28,949.09 and 11,418.21 is: 15,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.28 : 28,949.09 = 11,418.21 : x
  2. Step 2: Convert to fraction form
    20,978.28/28,949.09 = 11,418.21/x
  3. Step 3: Cross multiply
    20,978.28x = 28,949.09 × 11,418.21
  4. Step 4: Simplify right side
    20,978.28x = 330,546,731.84
  5. Step 5: Solve for x
    x = 330,546,731.84/20,978.28
  6. Step 6: Final answer
    x = 15,756.62

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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.