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Finding the Fourth Proportional to 13,770, 20,658.24 and 5,978.88

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Solution

The fourth proportional to 13,770, 20,658.24 and 5,978.88 is: 8,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770 : 20,658.24 = 5,978.88 : x
  2. Step 2: Convert to fraction form
    13,770/20,658.24 = 5,978.88/x
  3. Step 3: Cross multiply
    13,770x = 20,658.24 × 5,978.88
  4. Step 4: Simplify right side
    13,770x = 123,513,137.97
  5. Step 5: Solve for x
    x = 123,513,137.97/13,770
  6. Step 6: Final answer
    x = 8,969.73

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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.