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Finding the Fourth Proportional to 27,978.97, 38,614.67 and 16,040.00

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Solution

The fourth proportional to 27,978.97, 38,614.67 and 16,040.00 is: 22,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.97 : 38,614.67 = 16,040.00 : x
  2. Step 2: Convert to fraction form
    27,978.97/38,614.67 = 16,040.00/x
  3. Step 3: Cross multiply
    27,978.97x = 38,614.67 × 16,040.00
  4. Step 4: Simplify right side
    27,978.97x = 619,379,323.14
  5. Step 5: Solve for x
    x = 619,379,323.14/27,978.97
  6. Step 6: Final answer
    x = 22,137.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.