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Finding the Fourth Proportional to 13,022.34, 17,971.92 and 7,358.12

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Solution

The fourth proportional to 13,022.34, 17,971.92 and 7,358.12 is: 10,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.34 : 17,971.92 = 7,358.12 : x
  2. Step 2: Convert to fraction form
    13,022.34/17,971.92 = 7,358.12/x
  3. Step 3: Cross multiply
    13,022.34x = 17,971.92 × 7,358.12
  4. Step 4: Simplify right side
    13,022.34x = 132,239,543.99
  5. Step 5: Solve for x
    x = 132,239,543.99/13,022.34
  6. Step 6: Final answer
    x = 10,154.82

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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.