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Finding the Fourth Proportional to 12,453, 17,185.41 and 6,864

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Solution

The fourth proportional to 12,453, 17,185.41 and 6,864 is: 9,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453 : 17,185.41 = 6,864 : x
  2. Step 2: Convert to fraction form
    12,453/17,185.41 = 6,864/x
  3. Step 3: Cross multiply
    12,453x = 17,185.41 × 6,864
  4. Step 4: Simplify right side
    12,453x = 117,960,654.24
  5. Step 5: Solve for x
    x = 117,960,654.24/12,453
  6. Step 6: Final answer
    x = 9,472.47

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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.