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Finding the Fourth Proportional to 12,175.97, 18,293.09 and 7,801.97

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Solution

The fourth proportional to 12,175.97, 18,293.09 and 7,801.97 is: 11,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.97 : 18,293.09 = 7,801.97 : x
  2. Step 2: Convert to fraction form
    12,175.97/18,293.09 = 7,801.97/x
  3. Step 3: Cross multiply
    12,175.97x = 18,293.09 × 7,801.97
  4. Step 4: Simplify right side
    12,175.97x = 142,722,008.91
  5. Step 5: Solve for x
    x = 142,722,008.91/12,175.97
  6. Step 6: Final answer
    x = 11,721.62

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1.5x scale

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.