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Finding the Fourth Proportional to 38,489, 57,735.18 and 12,195.68

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Solution

The fourth proportional to 38,489, 57,735.18 and 12,195.68 is: 18,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489 : 57,735.18 = 12,195.68 : x
  2. Step 2: Convert to fraction form
    38,489/57,735.18 = 12,195.68/x
  3. Step 3: Cross multiply
    38,489x = 57,735.18 × 12,195.68
  4. Step 4: Simplify right side
    38,489x = 704,119,780.02
  5. Step 5: Solve for x
    x = 704,119,780.02/38,489
  6. Step 6: Final answer
    x = 18,294.05

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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.