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Finding the Fourth Proportional to 11,105.10, 16,669.80 and 8,650.80

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Solution

The fourth proportional to 11,105.10, 16,669.80 and 8,650.80 is: 12,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.10 : 16,669.80 = 8,650.80 : x
  2. Step 2: Convert to fraction form
    11,105.10/16,669.80 = 8,650.80/x
  3. Step 3: Cross multiply
    11,105.10x = 16,669.80 × 8,650.80
  4. Step 4: Simplify right side
    11,105.10x = 144,207,105.84
  5. Step 5: Solve for x
    x = 144,207,105.84/11,105.10
  6. Step 6: Final answer
    x = 12,985.66

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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.