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Finding the Fourth Proportional to 30,268.70, 41,764.02 and 18,331.82

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Solution

The fourth proportional to 30,268.70, 41,764.02 and 18,331.82 is: 25,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.70 : 41,764.02 = 18,331.82 : x
  2. Step 2: Convert to fraction form
    30,268.70/41,764.02 = 18,331.82/x
  3. Step 3: Cross multiply
    30,268.70x = 41,764.02 × 18,331.82
  4. Step 4: Simplify right side
    30,268.70x = 765,610,497.12
  5. Step 5: Solve for x
    x = 765,610,497.12/30,268.70
  6. Step 6: Final answer
    x = 25,293.80

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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.