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Finding the Fourth Proportional to 12,423.31, 17,144.37 and 6,758.17

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Solution

The fourth proportional to 12,423.31, 17,144.37 and 6,758.17 is: 9,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.31 : 17,144.37 = 6,758.17 : x
  2. Step 2: Convert to fraction form
    12,423.31/17,144.37 = 6,758.17/x
  3. Step 3: Cross multiply
    12,423.31x = 17,144.37 × 6,758.17
  4. Step 4: Simplify right side
    12,423.31x = 115,864,524.14
  5. Step 5: Solve for x
    x = 115,864,524.14/12,423.31
  6. Step 6: Final answer
    x = 9,326.38

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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.