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Finding the Fourth Proportional to 13,765.52, 20,647.74 and 5,979.80

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Solution

The fourth proportional to 13,765.52, 20,647.74 and 5,979.80 is: 8,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.52 : 20,647.74 = 5,979.80 : x
  2. Step 2: Convert to fraction form
    13,765.52/20,647.74 = 5,979.80/x
  3. Step 3: Cross multiply
    13,765.52x = 20,647.74 × 5,979.80
  4. Step 4: Simplify right side
    13,765.52x = 123,469,355.65
  5. Step 5: Solve for x
    x = 123,469,355.65/13,765.52
  6. Step 6: Final answer
    x = 8,969.47

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1.5x scale

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.