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Finding the Fourth Proportional to 20,872.25, 28,802.12 and 11,918.54

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Solution

The fourth proportional to 20,872.25, 28,802.12 and 11,918.54 is: 16,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.25 : 28,802.12 = 11,918.54 : x
  2. Step 2: Convert to fraction form
    20,872.25/28,802.12 = 11,918.54/x
  3. Step 3: Cross multiply
    20,872.25x = 28,802.12 × 11,918.54
  4. Step 4: Simplify right side
    20,872.25x = 343,279,015.70
  5. Step 5: Solve for x
    x = 343,279,015.70/20,872.25
  6. Step 6: Final answer
    x = 16,446.67

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1.5x scale

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.