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Finding the Fourth Proportional to 30,016.50, 41,422.78 and 16,768.50

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Solution

The fourth proportional to 30,016.50, 41,422.78 and 16,768.50 is: 23,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,016.50 : 41,422.78 = 16,768.50 : x
  2. Step 2: Convert to fraction form
    30,016.50/41,422.78 = 16,768.50/x
  3. Step 3: Cross multiply
    30,016.50x = 41,422.78 × 16,768.50
  4. Step 4: Simplify right side
    30,016.50x = 694,597,886.43
  5. Step 5: Solve for x
    x = 694,597,886.43/30,016.50
  6. Step 6: Final answer
    x = 23,140.54

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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.