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Finding the Fourth Proportional to 11,676.96, 16,114.65 and 6,641.64

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Solution

The fourth proportional to 11,676.96, 16,114.65 and 6,641.64 is: 9,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.96 : 16,114.65 = 6,641.64 : x
  2. Step 2: Convert to fraction form
    11,676.96/16,114.65 = 6,641.64/x
  3. Step 3: Cross multiply
    11,676.96x = 16,114.65 × 6,641.64
  4. Step 4: Simplify right side
    11,676.96x = 107,027,704.03
  5. Step 5: Solve for x
    x = 107,027,704.03/11,676.96
  6. Step 6: Final answer
    x = 9,165.72

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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.