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Finding the Fourth Proportional to 20,617.94, 30,905.04 and 10,082.07

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Solution

The fourth proportional to 20,617.94, 30,905.04 and 10,082.07 is: 15,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617.94 : 30,905.04 = 10,082.07 : x
  2. Step 2: Convert to fraction form
    20,617.94/30,905.04 = 10,082.07/x
  3. Step 3: Cross multiply
    20,617.94x = 30,905.04 × 10,082.07
  4. Step 4: Simplify right side
    20,617.94x = 311,586,814.44
  5. Step 5: Solve for x
    x = 311,586,814.44/20,617.94
  6. Step 6: Final answer
    x = 15,112.41

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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.