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Finding the Fourth Proportional to 12,882, 19,336.77 and 5,489.94

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Solution

The fourth proportional to 12,882, 19,336.77 and 5,489.94 is: 8,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882 : 19,336.77 = 5,489.94 : x
  2. Step 2: Convert to fraction form
    12,882/19,336.77 = 5,489.94/x
  3. Step 3: Cross multiply
    12,882x = 19,336.77 × 5,489.94
  4. Step 4: Simplify right side
    12,882x = 106,157,707.09
  5. Step 5: Solve for x
    x = 106,157,707.09/12,882
  6. Step 6: Final answer
    x = 8,240.78

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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.