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Finding the Fourth Proportional to 13,468.09, 20,205.31 and 4,234.09

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Solution

The fourth proportional to 13,468.09, 20,205.31 and 4,234.09 is: 6,352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.09 : 20,205.31 = 4,234.09 : x
  2. Step 2: Convert to fraction form
    13,468.09/20,205.31 = 4,234.09/x
  3. Step 3: Cross multiply
    13,468.09x = 20,205.31 × 4,234.09
  4. Step 4: Simplify right side
    13,468.09x = 85,550,989.41
  5. Step 5: Solve for x
    x = 85,550,989.41/13,468.09
  6. Step 6: Final answer
    x = 6,352.13

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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.