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Finding the Fourth Proportional to 10,917.75, 16,379.10 and 3,992.25

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Solution

The fourth proportional to 10,917.75, 16,379.10 and 3,992.25 is: 5,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.75 : 16,379.10 = 3,992.25 : x
  2. Step 2: Convert to fraction form
    10,917.75/16,379.10 = 3,992.25/x
  3. Step 3: Cross multiply
    10,917.75x = 16,379.10 × 3,992.25
  4. Step 4: Simplify right side
    10,917.75x = 65,389,461.98
  5. Step 5: Solve for x
    x = 65,389,461.98/10,917.75
  6. Step 6: Final answer
    x = 5,989.28

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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.