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Finding the Fourth Proportional to 20,206.82, 30,314.99 and 6,355.82

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Solution

The fourth proportional to 20,206.82, 30,314.99 and 6,355.82 is: 9,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.82 : 30,314.99 = 6,355.82 : x
  2. Step 2: Convert to fraction form
    20,206.82/30,314.99 = 6,355.82/x
  3. Step 3: Cross multiply
    20,206.82x = 30,314.99 × 6,355.82
  4. Step 4: Simplify right side
    20,206.82x = 192,676,619.74
  5. Step 5: Solve for x
    x = 192,676,619.74/20,206.82
  6. Step 6: Final answer
    x = 9,535.23

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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.