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Finding the Fourth Proportional to 38,181.73, 57,258.87 and 13,215

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Solution

The fourth proportional to 38,181.73, 57,258.87 and 13,215 is: 19,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,181.73 : 57,258.87 = 13,215 : x
  2. Step 2: Convert to fraction form
    38,181.73/57,258.87 = 13,215/x
  3. Step 3: Cross multiply
    38,181.73x = 57,258.87 × 13,215
  4. Step 4: Simplify right side
    38,181.73x = 756,675,967.05
  5. Step 5: Solve for x
    x = 756,675,967.05/38,181.73
  6. Step 6: Final answer
    x = 19,817.75

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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.