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Finding the Fourth Proportional to 30,993.06, 42,770.09 and 16,845.80

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Solution

The fourth proportional to 30,993.06, 42,770.09 and 16,845.80 is: 23,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.06 : 42,770.09 = 16,845.80 : x
  2. Step 2: Convert to fraction form
    30,993.06/42,770.09 = 16,845.80/x
  3. Step 3: Cross multiply
    30,993.06x = 42,770.09 × 16,845.80
  4. Step 4: Simplify right side
    30,993.06x = 720,496,084.04
  5. Step 5: Solve for x
    x = 720,496,084.04/30,993.06
  6. Step 6: Final answer
    x = 23,247.01

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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.