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Finding the Fourth Proportional to 39,456, 54,449.76 and 21,792

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Solution

The fourth proportional to 39,456, 54,449.76 and 21,792 is: 30,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,456 : 54,449.76 = 21,792 : x
  2. Step 2: Convert to fraction form
    39,456/54,449.76 = 21,792/x
  3. Step 3: Cross multiply
    39,456x = 54,449.76 × 21,792
  4. Step 4: Simplify right side
    39,456x = 1,186,569,169.92
  5. Step 5: Solve for x
    x = 1,186,569,169.92/39,456
  6. Step 6: Final answer
    x = 30,073.23

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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.