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Finding the Fourth Proportional to 13,023.87, 17,972.96 and 7,055.57

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Solution

The fourth proportional to 13,023.87, 17,972.96 and 7,055.57 is: 9,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.87 : 17,972.96 = 7,055.57 : x
  2. Step 2: Convert to fraction form
    13,023.87/17,972.96 = 7,055.57/x
  3. Step 3: Cross multiply
    13,023.87x = 17,972.96 × 7,055.57
  4. Step 4: Simplify right side
    13,023.87x = 126,809,352.24
  5. Step 5: Solve for x
    x = 126,809,352.24/13,023.87
  6. Step 6: Final answer
    x = 9,736.69

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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.