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Finding the Fourth Proportional to 11,866.89, 16,375.50 and 6,561.66

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Solution

The fourth proportional to 11,866.89, 16,375.50 and 6,561.66 is: 9,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.89 : 16,375.50 = 6,561.66 : x
  2. Step 2: Convert to fraction form
    11,866.89/16,375.50 = 6,561.66/x
  3. Step 3: Cross multiply
    11,866.89x = 16,375.50 × 6,561.66
  4. Step 4: Simplify right side
    11,866.89x = 107,450,463.33
  5. Step 5: Solve for x
    x = 107,450,463.33/11,866.89
  6. Step 6: Final answer
    x = 9,054.64

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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.