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Finding the Fourth Proportional to 36,802, 55,211.76 and 12,178

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Solution

The fourth proportional to 36,802, 55,211.76 and 12,178 is: 18,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,802 : 55,211.76 = 12,178 : x
  2. Step 2: Convert to fraction form
    36,802/55,211.76 = 12,178/x
  3. Step 3: Cross multiply
    36,802x = 55,211.76 × 12,178
  4. Step 4: Simplify right side
    36,802x = 672,368,813.28
  5. Step 5: Solve for x
    x = 672,368,813.28/36,802
  6. Step 6: Final answer
    x = 18,269.90

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