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Finding the Fourth Proportional to 13,022.57, 17,972.79 and 7,357.60

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Solution

The fourth proportional to 13,022.57, 17,972.79 and 7,357.60 is: 10,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.57 : 17,972.79 = 7,357.60 : x
  2. Step 2: Convert to fraction form
    13,022.57/17,972.79 = 7,357.60/x
  3. Step 3: Cross multiply
    13,022.57x = 17,972.79 × 7,357.60
  4. Step 4: Simplify right side
    13,022.57x = 132,236,562.92
  5. Step 5: Solve for x
    x = 132,236,562.92/13,022.57
  6. Step 6: Final answer
    x = 10,154.41

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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.