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Finding the Fourth Proportional to 13,104, 18,083.25 and 7,135.77

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Solution

The fourth proportional to 13,104, 18,083.25 and 7,135.77 is: 9,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104 : 18,083.25 = 7,135.77 : x
  2. Step 2: Convert to fraction form
    13,104/18,083.25 = 7,135.77/x
  3. Step 3: Cross multiply
    13,104x = 18,083.25 × 7,135.77
  4. Step 4: Simplify right side
    13,104x = 129,037,912.85
  5. Step 5: Solve for x
    x = 129,037,912.85/13,104
  6. Step 6: Final answer
    x = 9,847.22

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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.