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Finding the Fourth Proportional to 13,369.69, 20,090.89 and 7,134.11

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Solution

The fourth proportional to 13,369.69, 20,090.89 and 7,134.11 is: 10,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,369.69 : 20,090.89 = 7,134.11 : x
  2. Step 2: Convert to fraction form
    13,369.69/20,090.89 = 7,134.11/x
  3. Step 3: Cross multiply
    13,369.69x = 20,090.89 × 7,134.11
  4. Step 4: Simplify right side
    13,369.69x = 143,330,619.26
  5. Step 5: Solve for x
    x = 143,330,619.26/13,369.69
  6. Step 6: Final answer
    x = 10,720.56

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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.