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Finding the Fourth Proportional to 11,000.96, 16,500.10 and 3,209.78

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Solution

The fourth proportional to 11,000.96, 16,500.10 and 3,209.78 is: 4,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.96 : 16,500.10 = 3,209.78 : x
  2. Step 2: Convert to fraction form
    11,000.96/16,500.10 = 3,209.78/x
  3. Step 3: Cross multiply
    11,000.96x = 16,500.10 × 3,209.78
  4. Step 4: Simplify right side
    11,000.96x = 52,961,690.98
  5. Step 5: Solve for x
    x = 52,961,690.98/11,000.96
  6. Step 6: Final answer
    x = 4,814.28

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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.