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Finding the Fourth Proportional to 20,219.85, 30,328.74 and 7,745.85

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Solution

The fourth proportional to 20,219.85, 30,328.74 and 7,745.85 is: 11,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219.85 : 30,328.74 = 7,745.85 : x
  2. Step 2: Convert to fraction form
    20,219.85/30,328.74 = 7,745.85/x
  3. Step 3: Cross multiply
    20,219.85x = 30,328.74 × 7,745.85
  4. Step 4: Simplify right side
    20,219.85x = 234,921,870.73
  5. Step 5: Solve for x
    x = 234,921,870.73/20,219.85
  6. Step 6: Final answer
    x = 11,618.38

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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.