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Finding the Fourth Proportional to 20,600, 28,427.92 and 11,168.56

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Solution

The fourth proportional to 20,600, 28,427.92 and 11,168.56 is: 15,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,600 : 28,427.92 = 11,168.56 : x
  2. Step 2: Convert to fraction form
    20,600/28,427.92 = 11,168.56/x
  3. Step 3: Cross multiply
    20,600x = 28,427.92 × 11,168.56
  4. Step 4: Simplify right side
    20,600x = 317,498,930.20
  5. Step 5: Solve for x
    x = 317,498,930.20/20,600
  6. Step 6: Final answer
    x = 15,412.57

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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.