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Finding the Fourth Proportional to 13,191.38, 19,755.66 and 7,633.01

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Solution

The fourth proportional to 13,191.38, 19,755.66 and 7,633.01 is: 11,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.38 : 19,755.66 = 7,633.01 : x
  2. Step 2: Convert to fraction form
    13,191.38/19,755.66 = 7,633.01/x
  3. Step 3: Cross multiply
    13,191.38x = 19,755.66 × 7,633.01
  4. Step 4: Simplify right side
    13,191.38x = 150,795,062.78
  5. Step 5: Solve for x
    x = 150,795,062.78/13,191.38
  6. Step 6: Final answer
    x = 11,431.34

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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.