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Finding the Fourth Proportional to 12,235, 16,885.74 and 7,267

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Solution

The fourth proportional to 12,235, 16,885.74 and 7,267 is: 10,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235 : 16,885.74 = 7,267 : x
  2. Step 2: Convert to fraction form
    12,235/16,885.74 = 7,267/x
  3. Step 3: Cross multiply
    12,235x = 16,885.74 × 7,267
  4. Step 4: Simplify right side
    12,235x = 122,708,672.58
  5. Step 5: Solve for x
    x = 122,708,672.58/12,235
  6. Step 6: Final answer
    x = 10,029.32

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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.