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Finding the Fourth Proportional to 30,383.96, 41,930 and 16,954.98

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Solution

The fourth proportional to 30,383.96, 41,930 and 16,954.98 is: 23,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,383.96 : 41,930 = 16,954.98 : x
  2. Step 2: Convert to fraction form
    30,383.96/41,930 = 16,954.98/x
  3. Step 3: Cross multiply
    30,383.96x = 41,930 × 16,954.98
  4. Step 4: Simplify right side
    30,383.96x = 710,922,311.40
  5. Step 5: Solve for x
    x = 710,922,311.40/30,383.96
  6. Step 6: Final answer
    x = 23,397.95

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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.