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Finding the Fourth Proportional to 36,800, 55,208.18 and 13,426.38

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Solution

The fourth proportional to 36,800, 55,208.18 and 13,426.38 is: 20,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,800 : 55,208.18 = 13,426.38 : x
  2. Step 2: Convert to fraction form
    36,800/55,208.18 = 13,426.38/x
  3. Step 3: Cross multiply
    36,800x = 55,208.18 × 13,426.38
  4. Step 4: Simplify right side
    36,800x = 741,246,003.79
  5. Step 5: Solve for x
    x = 741,246,003.79/36,800
  6. Step 6: Final answer
    x = 20,142.55

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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.