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Finding the Fourth Proportional to 20,205.82, 30,313.49 and 6,354.82

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Solution

The fourth proportional to 20,205.82, 30,313.49 and 6,354.82 is: 9,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.82 : 30,313.49 = 6,354.82 : x
  2. Step 2: Convert to fraction form
    20,205.82/30,313.49 = 6,354.82/x
  3. Step 3: Cross multiply
    20,205.82x = 30,313.49 × 6,354.82
  4. Step 4: Simplify right side
    20,205.82x = 192,636,636.84
  5. Step 5: Solve for x
    x = 192,636,636.84/20,205.82
  6. Step 6: Final answer
    x = 9,533.72

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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.