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Finding the Fourth Proportional to 13,504.08, 20,261.96 and 7,256.80

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Solution

The fourth proportional to 13,504.08, 20,261.96 and 7,256.80 is: 10,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.08 : 20,261.96 = 7,256.80 : x
  2. Step 2: Convert to fraction form
    13,504.08/20,261.96 = 7,256.80/x
  3. Step 3: Cross multiply
    13,504.08x = 20,261.96 × 7,256.80
  4. Step 4: Simplify right side
    13,504.08x = 147,036,991.33
  5. Step 5: Solve for x
    x = 147,036,991.33/13,504.08
  6. Step 6: Final answer
    x = 10,888.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.