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Finding the Fourth Proportional to 11,676.78, 16,114.31 and 6,641.73

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Solution

The fourth proportional to 11,676.78, 16,114.31 and 6,641.73 is: 9,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.78 : 16,114.31 = 6,641.73 : x
  2. Step 2: Convert to fraction form
    11,676.78/16,114.31 = 6,641.73/x
  3. Step 3: Cross multiply
    11,676.78x = 16,114.31 × 6,641.73
  4. Step 4: Simplify right side
    11,676.78x = 107,026,912.76
  5. Step 5: Solve for x
    x = 107,026,912.76/11,676.78
  6. Step 6: Final answer
    x = 9,165.79

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1.5x scale

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.