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Finding the Fourth Proportional to 20,172.69, 27,834.92 and 11,219.01

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Solution

The fourth proportional to 20,172.69, 27,834.92 and 11,219.01 is: 15,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.69 : 27,834.92 = 11,219.01 : x
  2. Step 2: Convert to fraction form
    20,172.69/27,834.92 = 11,219.01/x
  3. Step 3: Cross multiply
    20,172.69x = 27,834.92 × 11,219.01
  4. Step 4: Simplify right side
    20,172.69x = 312,280,189.73
  5. Step 5: Solve for x
    x = 312,280,189.73/20,172.69
  6. Step 6: Final answer
    x = 15,480.34

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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.