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Finding the Fourth Proportional to 12,149.88, 16,765.83 and 6,846

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Solution

The fourth proportional to 12,149.88, 16,765.83 and 6,846 is: 9,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.88 : 16,765.83 = 6,846 : x
  2. Step 2: Convert to fraction form
    12,149.88/16,765.83 = 6,846/x
  3. Step 3: Cross multiply
    12,149.88x = 16,765.83 × 6,846
  4. Step 4: Simplify right side
    12,149.88x = 114,778,872.18
  5. Step 5: Solve for x
    x = 114,778,872.18/12,149.88
  6. Step 6: Final answer
    x = 9,446.91

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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.