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Finding the Fourth Proportional to 20,057.40, 30,069.09 and 11,294.82

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Solution

The fourth proportional to 20,057.40, 30,069.09 and 11,294.82 is: 16,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.40 : 30,069.09 = 11,294.82 : x
  2. Step 2: Convert to fraction form
    20,057.40/30,069.09 = 11,294.82/x
  3. Step 3: Cross multiply
    20,057.40x = 30,069.09 × 11,294.82
  4. Step 4: Simplify right side
    20,057.40x = 339,624,959.11
  5. Step 5: Solve for x
    x = 339,624,959.11/20,057.40
  6. Step 6: Final answer
    x = 16,932.65

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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.