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Finding the Fourth Proportional to 39,500, 54,510 and 21,836

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Solution

The fourth proportional to 39,500, 54,510 and 21,836 is: 30,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,500 : 54,510 = 21,836 : x
  2. Step 2: Convert to fraction form
    39,500/54,510 = 21,836/x
  3. Step 3: Cross multiply
    39,500x = 54,510 × 21,836
  4. Step 4: Simplify right side
    39,500x = 1,190,280,360
  5. Step 5: Solve for x
    x = 1,190,280,360/39,500
  6. Step 6: Final answer
    x = 30,133.68

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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.