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Finding the Fourth Proportional to 12,063.75, 16,648.02 and 7,872

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Solution

The fourth proportional to 12,063.75, 16,648.02 and 7,872 is: 10,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,063.75 : 16,648.02 = 7,872 : x
  2. Step 2: Convert to fraction form
    12,063.75/16,648.02 = 7,872/x
  3. Step 3: Cross multiply
    12,063.75x = 16,648.02 × 7,872
  4. Step 4: Simplify right side
    12,063.75x = 131,053,213.44
  5. Step 5: Solve for x
    x = 131,053,213.44/12,063.75
  6. Step 6: Final answer
    x = 10,863.39

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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.