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Finding the Fourth Proportional to 13,668.99, 20,487 and 5,768.43

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Solution

The fourth proportional to 13,668.99, 20,487 and 5,768.43 is: 8,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.99 : 20,487 = 5,768.43 : x
  2. Step 2: Convert to fraction form
    13,668.99/20,487 = 5,768.43/x
  3. Step 3: Cross multiply
    13,668.99x = 20,487 × 5,768.43
  4. Step 4: Simplify right side
    13,668.99x = 118,177,825.41
  5. Step 5: Solve for x
    x = 118,177,825.41/13,668.99
  6. Step 6: Final answer
    x = 8,645.69

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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.