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Finding the Fourth Proportional to 38,489.20, 57,742.20 and 21,857.20

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Solution

The fourth proportional to 38,489.20, 57,742.20 and 21,857.20 is: 32,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489.20 : 57,742.20 = 21,857.20 : x
  2. Step 2: Convert to fraction form
    38,489.20/57,742.20 = 21,857.20/x
  3. Step 3: Cross multiply
    38,489.20x = 57,742.20 × 21,857.20
  4. Step 4: Simplify right side
    38,489.20x = 1,262,082,813.84
  5. Step 5: Solve for x
    x = 1,262,082,813.84/38,489.20
  6. Step 6: Final answer
    x = 32,790.57

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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.