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Finding the Fourth Proportional to 13,194.86, 18,208.22 and 7,225.37

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Solution

The fourth proportional to 13,194.86, 18,208.22 and 7,225.37 is: 9,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.86 : 18,208.22 = 7,225.37 : x
  2. Step 2: Convert to fraction form
    13,194.86/18,208.22 = 7,225.37/x
  3. Step 3: Cross multiply
    13,194.86x = 18,208.22 × 7,225.37
  4. Step 4: Simplify right side
    13,194.86x = 131,561,144.60
  5. Step 5: Solve for x
    x = 131,561,144.60/13,194.86
  6. Step 6: Final answer
    x = 9,970.64

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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.