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Finding the Fourth Proportional to 17,964.00, 26,949.25 and 7,428.30

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Solution

The fourth proportional to 17,964.00, 26,949.25 and 7,428.30 is: 11,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,964.00 : 26,949.25 = 7,428.30 : x
  2. Step 2: Convert to fraction form
    17,964.00/26,949.25 = 7,428.30/x
  3. Step 3: Cross multiply
    17,964.00x = 26,949.25 × 7,428.30
  4. Step 4: Simplify right side
    17,964.00x = 200,187,149.42
  5. Step 5: Solve for x
    x = 200,187,149.42/17,964.00
  6. Step 6: Final answer
    x = 11,143.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.