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Finding the Fourth Proportional to 30,939, 42,696 and 16,791.96

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Solution

The fourth proportional to 30,939, 42,696 and 16,791.96 is: 23,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,939 : 42,696 = 16,791.96 : x
  2. Step 2: Convert to fraction form
    30,939/42,696 = 16,791.96/x
  3. Step 3: Cross multiply
    30,939x = 42,696 × 16,791.96
  4. Step 4: Simplify right side
    30,939x = 716,949,524.16
  5. Step 5: Solve for x
    x = 716,949,524.16/30,939
  6. Step 6: Final answer
    x = 23,173.00

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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.