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Finding the Fourth Proportional to 12,285, 16,953.30 and 6,696

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Solution

The fourth proportional to 12,285, 16,953.30 and 6,696 is: 9,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285 : 16,953.30 = 6,696 : x
  2. Step 2: Convert to fraction form
    12,285/16,953.30 = 6,696/x
  3. Step 3: Cross multiply
    12,285x = 16,953.30 × 6,696
  4. Step 4: Simplify right side
    12,285x = 113,519,296.80
  5. Step 5: Solve for x
    x = 113,519,296.80/12,285
  6. Step 6: Final answer
    x = 9,240.48

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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.