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Finding the Fourth Proportional to 10,998.96, 16,497.10 and 3,207.78

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Solution

The fourth proportional to 10,998.96, 16,497.10 and 3,207.78 is: 4,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.96 : 16,497.10 = 3,207.78 : x
  2. Step 2: Convert to fraction form
    10,998.96/16,497.10 = 3,207.78/x
  3. Step 3: Cross multiply
    10,998.96x = 16,497.10 × 3,207.78
  4. Step 4: Simplify right side
    10,998.96x = 52,919,067.44
  5. Step 5: Solve for x
    x = 52,919,067.44/10,998.96
  6. Step 6: Final answer
    x = 4,811.28

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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.