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Finding the Fourth Proportional to 20,295.75, 30,443.69 and 7,983.75

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Solution

The fourth proportional to 20,295.75, 30,443.69 and 7,983.75 is: 11,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.75 : 30,443.69 = 7,983.75 : x
  2. Step 2: Convert to fraction form
    20,295.75/30,443.69 = 7,983.75/x
  3. Step 3: Cross multiply
    20,295.75x = 30,443.69 × 7,983.75
  4. Step 4: Simplify right side
    20,295.75x = 243,054,770.12
  5. Step 5: Solve for x
    x = 243,054,770.12/20,295.75
  6. Step 6: Final answer
    x = 11,975.65

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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.