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Finding the Fourth Proportional to 27,816, 41,571.29 and 20,335.31

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Solution

The fourth proportional to 27,816, 41,571.29 and 20,335.31 is: 30,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,816 : 41,571.29 = 20,335.31 : x
  2. Step 2: Convert to fraction form
    27,816/41,571.29 = 20,335.31/x
  3. Step 3: Cross multiply
    27,816x = 41,571.29 × 20,335.31
  4. Step 4: Simplify right side
    27,816x = 845,364,889.06
  5. Step 5: Solve for x
    x = 845,364,889.06/27,816
  6. Step 6: Final answer
    x = 30,391.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.