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Finding the Fourth Proportional to 36,909.94, 55,373.70 and 11,950

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Solution

The fourth proportional to 36,909.94, 55,373.70 and 11,950 is: 17,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,909.94 : 55,373.70 = 11,950 : x
  2. Step 2: Convert to fraction form
    36,909.94/55,373.70 = 11,950/x
  3. Step 3: Cross multiply
    36,909.94x = 55,373.70 × 11,950
  4. Step 4: Simplify right side
    36,909.94x = 661,715,715
  5. Step 5: Solve for x
    x = 661,715,715/36,909.94
  6. Step 6: Final answer
    x = 17,927.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.