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Finding the Fourth Proportional to 13,022.76, 17,972.52 and 7,358.55

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Solution

The fourth proportional to 13,022.76, 17,972.52 and 7,358.55 is: 10,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.76 : 17,972.52 = 7,358.55 : x
  2. Step 2: Convert to fraction form
    13,022.76/17,972.52 = 7,358.55/x
  3. Step 3: Cross multiply
    13,022.76x = 17,972.52 × 7,358.55
  4. Step 4: Simplify right side
    13,022.76x = 132,251,687.05
  5. Step 5: Solve for x
    x = 132,251,687.05/13,022.76
  6. Step 6: Final answer
    x = 10,155.43

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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.