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Finding the Fourth Proportional to 36,686, 55,029.76 and 12,062

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Solution

The fourth proportional to 36,686, 55,029.76 and 12,062 is: 18,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,686 : 55,029.76 = 12,062 : x
  2. Step 2: Convert to fraction form
    36,686/55,029.76 = 12,062/x
  3. Step 3: Cross multiply
    36,686x = 55,029.76 × 12,062
  4. Step 4: Simplify right side
    36,686x = 663,768,965.12
  5. Step 5: Solve for x
    x = 663,768,965.12/36,686
  6. Step 6: Final answer
    x = 18,093.25

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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.