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Finding the Fourth Proportional to 39,634, 54,694.92 and 23,720.74

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Solution

The fourth proportional to 39,634, 54,694.92 and 23,720.74 is: 32,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,634 : 54,694.92 = 23,720.74 : x
  2. Step 2: Convert to fraction form
    39,634/54,694.92 = 23,720.74/x
  3. Step 3: Cross multiply
    39,634x = 54,694.92 × 23,720.74
  4. Step 4: Simplify right side
    39,634x = 1,297,403,976.64
  5. Step 5: Solve for x
    x = 1,297,403,976.64/39,634
  6. Step 6: Final answer
    x = 32,734.62

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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.