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Finding the Fourth Proportional to 20,097, 30,147.66 and 9,008.64

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Solution

The fourth proportional to 20,097, 30,147.66 and 9,008.64 is: 13,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097 : 30,147.66 = 9,008.64 : x
  2. Step 2: Convert to fraction form
    20,097/30,147.66 = 9,008.64/x
  3. Step 3: Cross multiply
    20,097x = 30,147.66 × 9,008.64
  4. Step 4: Simplify right side
    20,097x = 271,589,415.78
  5. Step 5: Solve for x
    x = 271,589,415.78/20,097
  6. Step 6: Final answer
    x = 13,513.93

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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.