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Finding the Fourth Proportional to 30,100, 41,538.08 and 16,852

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Solution

The fourth proportional to 30,100, 41,538.08 and 16,852 is: 23,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,100 : 41,538.08 = 16,852 : x
  2. Step 2: Convert to fraction form
    30,100/41,538.08 = 16,852/x
  3. Step 3: Cross multiply
    30,100x = 41,538.08 × 16,852
  4. Step 4: Simplify right side
    30,100x = 699,999,724.16
  5. Step 5: Solve for x
    x = 699,999,724.16/30,100
  6. Step 6: Final answer
    x = 23,255.80

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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.