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Finding the Fourth Proportional to 36,622.14, 54,932.81 and 8,920.14

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Solution

The fourth proportional to 36,622.14, 54,932.81 and 8,920.14 is: 13,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,622.14 : 54,932.81 = 8,920.14 : x
  2. Step 2: Convert to fraction form
    36,622.14/54,932.81 = 8,920.14/x
  3. Step 3: Cross multiply
    36,622.14x = 54,932.81 × 8,920.14
  4. Step 4: Simplify right side
    36,622.14x = 490,008,311.19
  5. Step 5: Solve for x
    x = 490,008,311.19/36,622.14
  6. Step 6: Final answer
    x = 13,380.11

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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.