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Finding the Fourth Proportional to 11,867.12, 16,375.94 and 6,561.59

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Solution

The fourth proportional to 11,867.12, 16,375.94 and 6,561.59 is: 9,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.12 : 16,375.94 = 6,561.59 : x
  2. Step 2: Convert to fraction form
    11,867.12/16,375.94 = 6,561.59/x
  3. Step 3: Cross multiply
    11,867.12x = 16,375.94 × 6,561.59
  4. Step 4: Simplify right side
    11,867.12x = 107,452,089.46
  5. Step 5: Solve for x
    x = 107,452,089.46/11,867.12
  6. Step 6: Final answer
    x = 9,054.61

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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.