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Finding the Fourth Proportional to 20,122.70, 30,212.85 and 11,374.70

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Solution

The fourth proportional to 20,122.70, 30,212.85 and 11,374.70 is: 17,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.70 : 30,212.85 = 11,374.70 : x
  2. Step 2: Convert to fraction form
    20,122.70/30,212.85 = 11,374.70/x
  3. Step 3: Cross multiply
    20,122.70x = 30,212.85 × 11,374.70
  4. Step 4: Simplify right side
    20,122.70x = 343,662,104.90
  5. Step 5: Solve for x
    x = 343,662,104.90/20,122.70
  6. Step 6: Final answer
    x = 17,078.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.