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Finding the Fourth Proportional to 11,677.67, 16,115.67 and 6,642.78

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Solution

The fourth proportional to 11,677.67, 16,115.67 and 6,642.78 is: 9,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.67 : 16,115.67 = 6,642.78 : x
  2. Step 2: Convert to fraction form
    11,677.67/16,115.67 = 6,642.78/x
  3. Step 3: Cross multiply
    11,677.67x = 16,115.67 × 6,642.78
  4. Step 4: Simplify right side
    11,677.67x = 107,052,895.42
  5. Step 5: Solve for x
    x = 107,052,895.42/11,677.67
  6. Step 6: Final answer
    x = 9,167.31

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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.