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Finding the Fourth Proportional to 11,693.69, 16,137.64 and 6,388.85

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Solution

The fourth proportional to 11,693.69, 16,137.64 and 6,388.85 is: 8,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.69 : 16,137.64 = 6,388.85 : x
  2. Step 2: Convert to fraction form
    11,693.69/16,137.64 = 6,388.85/x
  3. Step 3: Cross multiply
    11,693.69x = 16,137.64 × 6,388.85
  4. Step 4: Simplify right side
    11,693.69x = 103,100,961.31
  5. Step 5: Solve for x
    x = 103,100,961.31/11,693.69
  6. Step 6: Final answer
    x = 8,816.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.