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Finding the Fourth Proportional to 11,993.20, 17,983.62 and 5,415.80

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Solution

The fourth proportional to 11,993.20, 17,983.62 and 5,415.80 is: 8,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.20 : 17,983.62 = 5,415.80 : x
  2. Step 2: Convert to fraction form
    11,993.20/17,983.62 = 5,415.80/x
  3. Step 3: Cross multiply
    11,993.20x = 17,983.62 × 5,415.80
  4. Step 4: Simplify right side
    11,993.20x = 97,395,599.28
  5. Step 5: Solve for x
    x = 97,395,599.28/11,993.20
  6. Step 6: Final answer
    x = 8,120.90

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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.