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Finding the Fourth Proportional to 11,720, 16,171.02 and 7,183.64

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Solution

The fourth proportional to 11,720, 16,171.02 and 7,183.64 is: 9,911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720 : 16,171.02 = 7,183.64 : x
  2. Step 2: Convert to fraction form
    11,720/16,171.02 = 7,183.64/x
  3. Step 3: Cross multiply
    11,720x = 16,171.02 × 7,183.64
  4. Step 4: Simplify right side
    11,720x = 116,166,786.11
  5. Step 5: Solve for x
    x = 116,166,786.11/11,720
  6. Step 6: Final answer
    x = 9,911.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.