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Finding the Fourth Proportional to 18,640.53, 27,961.65 and 6,161.67

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Solution

The fourth proportional to 18,640.53, 27,961.65 and 6,161.67 is: 9,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640.53 : 27,961.65 = 6,161.67 : x
  2. Step 2: Convert to fraction form
    18,640.53/27,961.65 = 6,161.67/x
  3. Step 3: Cross multiply
    18,640.53x = 27,961.65 × 6,161.67
  4. Step 4: Simplify right side
    18,640.53x = 172,290,459.96
  5. Step 5: Solve for x
    x = 172,290,459.96/18,640.53
  6. Step 6: Final answer
    x = 9,242.79

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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.