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Finding the Fourth Proportional to 13,174.62, 19,765.38 and 3,940.62

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Solution

The fourth proportional to 13,174.62, 19,765.38 and 3,940.62 is: 5,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.62 : 19,765.38 = 3,940.62 : x
  2. Step 2: Convert to fraction form
    13,174.62/19,765.38 = 3,940.62/x
  3. Step 3: Cross multiply
    13,174.62x = 19,765.38 × 3,940.62
  4. Step 4: Simplify right side
    13,174.62x = 77,887,851.74
  5. Step 5: Solve for x
    x = 77,887,851.74/13,174.62
  6. Step 6: Final answer
    x = 5,911.96

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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.