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Finding the Fourth Proportional to 30,993.09, 42,770.96 and 16,845.98

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Solution

The fourth proportional to 30,993.09, 42,770.96 and 16,845.98 is: 23,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.09 : 42,770.96 = 16,845.98 : x
  2. Step 2: Convert to fraction form
    30,993.09/42,770.96 = 16,845.98/x
  3. Step 3: Cross multiply
    30,993.09x = 42,770.96 × 16,845.98
  4. Step 4: Simplify right side
    30,993.09x = 720,518,438.66
  5. Step 5: Solve for x
    x = 720,518,438.66/30,993.09
  6. Step 6: Final answer
    x = 23,247.71

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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.