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Finding the Fourth Proportional to 13,874.10, 20,811.17 and 3,485.85

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Solution

The fourth proportional to 13,874.10, 20,811.17 and 3,485.85 is: 5,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.10 : 20,811.17 = 3,485.85 : x
  2. Step 2: Convert to fraction form
    13,874.10/20,811.17 = 3,485.85/x
  3. Step 3: Cross multiply
    13,874.10x = 20,811.17 × 3,485.85
  4. Step 4: Simplify right side
    13,874.10x = 72,544,616.94
  5. Step 5: Solve for x
    x = 72,544,616.94/13,874.10
  6. Step 6: Final answer
    x = 5,228.78

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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.