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Finding the Fourth Proportional to 11,340, 16,993.59 and 6,399.20

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Solution

The fourth proportional to 11,340, 16,993.59 and 6,399.20 is: 9,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340 : 16,993.59 = 6,399.20 : x
  2. Step 2: Convert to fraction form
    11,340/16,993.59 = 6,399.20/x
  3. Step 3: Cross multiply
    11,340x = 16,993.59 × 6,399.20
  4. Step 4: Simplify right side
    11,340x = 108,745,296.16
  5. Step 5: Solve for x
    x = 108,745,296.16/11,340
  6. Step 6: Final answer
    x = 9,589.53

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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.