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Finding the Fourth Proportional to 12,791.25, 19,169.28 and 6,538.08

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Solution

The fourth proportional to 12,791.25, 19,169.28 and 6,538.08 is: 9,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.25 : 19,169.28 = 6,538.08 : x
  2. Step 2: Convert to fraction form
    12,791.25/19,169.28 = 6,538.08/x
  3. Step 3: Cross multiply
    12,791.25x = 19,169.28 × 6,538.08
  4. Step 4: Simplify right side
    12,791.25x = 125,330,286.18
  5. Step 5: Solve for x
    x = 125,330,286.18/12,791.25
  6. Step 6: Final answer
    x = 9,798.13

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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.