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Finding the Fourth Proportional to 39,728.97, 54,830.84 and 22,961.97

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Solution

The fourth proportional to 39,728.97, 54,830.84 and 22,961.97 is: 31,690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,728.97 : 54,830.84 = 22,961.97 : x
  2. Step 2: Convert to fraction form
    39,728.97/54,830.84 = 22,961.97/x
  3. Step 3: Cross multiply
    39,728.97x = 54,830.84 × 22,961.97
  4. Step 4: Simplify right side
    39,728.97x = 1,259,024,103.15
  5. Step 5: Solve for x
    x = 1,259,024,103.15/39,728.97
  6. Step 6: Final answer
    x = 31,690.33

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1.5x scale

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.