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Finding the Fourth Proportional to 20,090.84, 30,133.94 and 8,082.54

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Solution

The fourth proportional to 20,090.84, 30,133.94 and 8,082.54 is: 12,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,090.84 : 30,133.94 = 8,082.54 : x
  2. Step 2: Convert to fraction form
    20,090.84/30,133.94 = 8,082.54/x
  3. Step 3: Cross multiply
    20,090.84x = 30,133.94 × 8,082.54
  4. Step 4: Simplify right side
    20,090.84x = 243,558,775.41
  5. Step 5: Solve for x
    x = 243,558,775.41/20,090.84
  6. Step 6: Final answer
    x = 12,122.88

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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.