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Finding the Fourth Proportional to 14,863.20, 20,511.14 and 8,149.11

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Solution

The fourth proportional to 14,863.20, 20,511.14 and 8,149.11 is: 11,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.20 : 20,511.14 = 8,149.11 : x
  2. Step 2: Convert to fraction form
    14,863.20/20,511.14 = 8,149.11/x
  3. Step 3: Cross multiply
    14,863.20x = 20,511.14 × 8,149.11
  4. Step 4: Simplify right side
    14,863.20x = 167,147,495.34
  5. Step 5: Solve for x
    x = 167,147,495.34/14,863.20
  6. Step 6: Final answer
    x = 11,245.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.