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Finding the Fourth Proportional to 38,476.76, 57,720.02 and 12,172

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Solution

The fourth proportional to 38,476.76, 57,720.02 and 12,172 is: 18,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.76 : 57,720.02 = 12,172 : x
  2. Step 2: Convert to fraction form
    38,476.76/57,720.02 = 12,172/x
  3. Step 3: Cross multiply
    38,476.76x = 57,720.02 × 12,172
  4. Step 4: Simplify right side
    38,476.76x = 702,568,083.44
  5. Step 5: Solve for x
    x = 702,568,083.44/38,476.76
  6. Step 6: Final answer
    x = 18,259.54

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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.