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Finding the Fourth Proportional to 13,022.91, 17,972.51 and 7,355.70

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Solution

The fourth proportional to 13,022.91, 17,972.51 and 7,355.70 is: 10,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.91 : 17,972.51 = 7,355.70 : x
  2. Step 2: Convert to fraction form
    13,022.91/17,972.51 = 7,355.70/x
  3. Step 3: Cross multiply
    13,022.91x = 17,972.51 × 7,355.70
  4. Step 4: Simplify right side
    13,022.91x = 132,200,355.03
  5. Step 5: Solve for x
    x = 132,200,355.03/13,022.91
  6. Step 6: Final answer
    x = 10,151.37

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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.