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Finding the Fourth Proportional to 27,928.36, 41,827.80 and 27,721

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Solution

The fourth proportional to 27,928.36, 41,827.80 and 27,721 is: 41,517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,928.36 : 41,827.80 = 27,721 : x
  2. Step 2: Convert to fraction form
    27,928.36/41,827.80 = 27,721/x
  3. Step 3: Cross multiply
    27,928.36x = 41,827.80 × 27,721
  4. Step 4: Simplify right side
    27,928.36x = 1,159,508,443.80
  5. Step 5: Solve for x
    x = 1,159,508,443.80/27,928.36
  6. Step 6: Final answer
    x = 41,517.24

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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.