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Finding the Fourth Proportional to 13,830.62, 20,745.84 and 8,285.54

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Solution

The fourth proportional to 13,830.62, 20,745.84 and 8,285.54 is: 12,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.62 : 20,745.84 = 8,285.54 : x
  2. Step 2: Convert to fraction form
    13,830.62/20,745.84 = 8,285.54/x
  3. Step 3: Cross multiply
    13,830.62x = 20,745.84 × 8,285.54
  4. Step 4: Simplify right side
    13,830.62x = 171,890,487.15
  5. Step 5: Solve for x
    x = 171,890,487.15/13,830.62
  6. Step 6: Final answer
    x = 12,428.26

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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.