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Finding the Fourth Proportional to 33,074, 45,642.16 and 18,170

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Solution

The fourth proportional to 33,074, 45,642.16 and 18,170 is: 25,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,074 : 45,642.16 = 18,170 : x
  2. Step 2: Convert to fraction form
    33,074/45,642.16 = 18,170/x
  3. Step 3: Cross multiply
    33,074x = 45,642.16 × 18,170
  4. Step 4: Simplify right side
    33,074x = 829,318,047.20
  5. Step 5: Solve for x
    x = 829,318,047.20/33,074
  6. Step 6: Final answer
    x = 25,074.62

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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.