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Finding the Fourth Proportional to 13,180.73, 19,775.24 and 5,791.40

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Solution

The fourth proportional to 13,180.73, 19,775.24 and 5,791.40 is: 8,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.73 : 19,775.24 = 5,791.40 : x
  2. Step 2: Convert to fraction form
    13,180.73/19,775.24 = 5,791.40/x
  3. Step 3: Cross multiply
    13,180.73x = 19,775.24 × 5,791.40
  4. Step 4: Simplify right side
    13,180.73x = 114,526,292.98
  5. Step 5: Solve for x
    x = 114,526,292.98/13,180.73
  6. Step 6: Final answer
    x = 8,688.92

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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.