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Finding the Fourth Proportional to 12,276, 16,940.90 and 6,687

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Solution

The fourth proportional to 12,276, 16,940.90 and 6,687 is: 9,228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276 : 16,940.90 = 6,687 : x
  2. Step 2: Convert to fraction form
    12,276/16,940.90 = 6,687/x
  3. Step 3: Cross multiply
    12,276x = 16,940.90 × 6,687
  4. Step 4: Simplify right side
    12,276x = 113,283,798.30
  5. Step 5: Solve for x
    x = 113,283,798.30/12,276
  6. Step 6: Final answer
    x = 9,228.07

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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.