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Finding the Fourth Proportional to 11,693.84, 16,137.78 and 6,388.61

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Solution

The fourth proportional to 11,693.84, 16,137.78 and 6,388.61 is: 8,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.84 : 16,137.78 = 6,388.61 : x
  2. Step 2: Convert to fraction form
    11,693.84/16,137.78 = 6,388.61/x
  3. Step 3: Cross multiply
    11,693.84x = 16,137.78 × 6,388.61
  4. Step 4: Simplify right side
    11,693.84x = 103,097,982.69
  5. Step 5: Solve for x
    x = 103,097,982.69/11,693.84
  6. Step 6: Final answer
    x = 8,816.44

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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.