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Finding the Fourth Proportional to 13,745.25, 18,968.49 and 8,440.02

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Solution

The fourth proportional to 13,745.25, 18,968.49 and 8,440.02 is: 11,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.25 : 18,968.49 = 8,440.02 : x
  2. Step 2: Convert to fraction form
    13,745.25/18,968.49 = 8,440.02/x
  3. Step 3: Cross multiply
    13,745.25x = 18,968.49 × 8,440.02
  4. Step 4: Simplify right side
    13,745.25x = 160,094,434.97
  5. Step 5: Solve for x
    x = 160,094,434.97/13,745.25
  6. Step 6: Final answer
    x = 11,647.26

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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.