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Finding the Fourth Proportional to 13,057.26, 18,019.02 and 7,469.34

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Solution

The fourth proportional to 13,057.26, 18,019.02 and 7,469.34 is: 10,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.26 : 18,019.02 = 7,469.34 : x
  2. Step 2: Convert to fraction form
    13,057.26/18,019.02 = 7,469.34/x
  3. Step 3: Cross multiply
    13,057.26x = 18,019.02 × 7,469.34
  4. Step 4: Simplify right side
    13,057.26x = 134,590,186.85
  5. Step 5: Solve for x
    x = 134,590,186.85/13,057.26
  6. Step 6: Final answer
    x = 10,307.69

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