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Finding the Fourth Proportional to 47,793.80, 65,963.56 and 27,663

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Solution

The fourth proportional to 47,793.80, 65,963.56 and 27,663 is: 38,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,793.80 : 65,963.56 = 27,663 : x
  2. Step 2: Convert to fraction form
    47,793.80/65,963.56 = 27,663/x
  3. Step 3: Cross multiply
    47,793.80x = 65,963.56 × 27,663
  4. Step 4: Simplify right side
    47,793.80x = 1,824,749,960.28
  5. Step 5: Solve for x
    x = 1,824,749,960.28/47,793.80
  6. Step 6: Final answer
    x = 38,179.64

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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.