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Finding the Fourth Proportional to 11,049.92, 16,543.88 and 8,289.44

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Solution

The fourth proportional to 11,049.92, 16,543.88 and 8,289.44 is: 12,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049.92 : 16,543.88 = 8,289.44 : x
  2. Step 2: Convert to fraction form
    11,049.92/16,543.88 = 8,289.44/x
  3. Step 3: Cross multiply
    11,049.92x = 16,543.88 × 8,289.44
  4. Step 4: Simplify right side
    11,049.92x = 137,139,500.63
  5. Step 5: Solve for x
    x = 137,139,500.63/11,049.92
  6. Step 6: Final answer
    x = 12,410.90

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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.