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Finding the Fourth Proportional to 13,468.20, 20,205.21 and 4,107.98

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Solution

The fourth proportional to 13,468.20, 20,205.21 and 4,107.98 is: 6,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.20 : 20,205.21 = 4,107.98 : x
  2. Step 2: Convert to fraction form
    13,468.20/20,205.21 = 4,107.98/x
  3. Step 3: Cross multiply
    13,468.20x = 20,205.21 × 4,107.98
  4. Step 4: Simplify right side
    13,468.20x = 83,002,497.55
  5. Step 5: Solve for x
    x = 83,002,497.55/13,468.20
  6. Step 6: Final answer
    x = 6,162.85

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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.