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Finding the Fourth Proportional to 20,195.73, 30,274.16 and 10,828.89

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Solution

The fourth proportional to 20,195.73, 30,274.16 and 10,828.89 is: 16,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.73 : 30,274.16 = 10,828.89 : x
  2. Step 2: Convert to fraction form
    20,195.73/30,274.16 = 10,828.89/x
  3. Step 3: Cross multiply
    20,195.73x = 30,274.16 × 10,828.89
  4. Step 4: Simplify right side
    20,195.73x = 327,835,494.34
  5. Step 5: Solve for x
    x = 327,835,494.34/20,195.73
  6. Step 6: Final answer
    x = 16,232.91

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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.