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Finding the Fourth Proportional to 39,846.94, 54,988.77 and 21,941.90

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Solution

The fourth proportional to 39,846.94, 54,988.77 and 21,941.90 is: 30,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,846.94 : 54,988.77 = 21,941.90 : x
  2. Step 2: Convert to fraction form
    39,846.94/54,988.77 = 21,941.90/x
  3. Step 3: Cross multiply
    39,846.94x = 54,988.77 × 21,941.90
  4. Step 4: Simplify right side
    39,846.94x = 1,206,558,183.34
  5. Step 5: Solve for x
    x = 1,206,558,183.34/39,846.94
  6. Step 6: Final answer
    x = 30,279.82

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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.