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Finding the Fourth Proportional to 12,279.36, 18,426.92 and 12,234

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Solution

The fourth proportional to 12,279.36, 18,426.92 and 12,234 is: 18,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,279.36 : 18,426.92 = 12,234 : x
  2. Step 2: Convert to fraction form
    12,279.36/18,426.92 = 12,234/x
  3. Step 3: Cross multiply
    12,279.36x = 18,426.92 × 12,234
  4. Step 4: Simplify right side
    12,279.36x = 225,434,878.11
  5. Step 5: Solve for x
    x = 225,434,878.11/12,279.36
  6. Step 6: Final answer
    x = 18,358.85

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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.