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Finding the Fourth Proportional to 18,020.72, 27,040.77 and 7,498

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Solution

The fourth proportional to 18,020.72, 27,040.77 and 7,498 is: 11,251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,020.72 : 27,040.77 = 7,498 : x
  2. Step 2: Convert to fraction form
    18,020.72/27,040.77 = 7,498/x
  3. Step 3: Cross multiply
    18,020.72x = 27,040.77 × 7,498
  4. Step 4: Simplify right side
    18,020.72x = 202,751,693.46
  5. Step 5: Solve for x
    x = 202,751,693.46/18,020.72
  6. Step 6: Final answer
    x = 11,251.03

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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.