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Finding the Fourth Proportional to 38,124, 57,203.28 and 18,398.88

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Solution

The fourth proportional to 38,124, 57,203.28 and 18,398.88 is: 27,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,124 : 57,203.28 = 18,398.88 : x
  2. Step 2: Convert to fraction form
    38,124/57,203.28 = 18,398.88/x
  3. Step 3: Cross multiply
    38,124x = 57,203.28 × 18,398.88
  4. Step 4: Simplify right side
    38,124x = 1,052,476,284.33
  5. Step 5: Solve for x
    x = 1,052,476,284.33/38,124
  6. Step 6: Final answer
    x = 27,606.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.