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Finding the Fourth Proportional to 13,072.90, 18,040.75 and 7,104.57

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Solution

The fourth proportional to 13,072.90, 18,040.75 and 7,104.57 is: 9,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.90 : 18,040.75 = 7,104.57 : x
  2. Step 2: Convert to fraction form
    13,072.90/18,040.75 = 7,104.57/x
  3. Step 3: Cross multiply
    13,072.90x = 18,040.75 × 7,104.57
  4. Step 4: Simplify right side
    13,072.90x = 128,171,777.30
  5. Step 5: Solve for x
    x = 128,171,777.30/13,072.90
  6. Step 6: Final answer
    x = 9,804.38

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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.