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Finding the Fourth Proportional to 12,429.44, 18,607.14 and 8,255

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Solution

The fourth proportional to 12,429.44, 18,607.14 and 8,255 is: 12,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.44 : 18,607.14 = 8,255 : x
  2. Step 2: Convert to fraction form
    12,429.44/18,607.14 = 8,255/x
  3. Step 3: Cross multiply
    12,429.44x = 18,607.14 × 8,255
  4. Step 4: Simplify right side
    12,429.44x = 153,601,940.70
  5. Step 5: Solve for x
    x = 153,601,940.70/12,429.44
  6. Step 6: Final answer
    x = 12,357.91

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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.