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Finding the Fourth Proportional to 38,321, 57,481.50 and 10,619

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Solution

The fourth proportional to 38,321, 57,481.50 and 10,619 is: 15,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,321 : 57,481.50 = 10,619 : x
  2. Step 2: Convert to fraction form
    38,321/57,481.50 = 10,619/x
  3. Step 3: Cross multiply
    38,321x = 57,481.50 × 10,619
  4. Step 4: Simplify right side
    38,321x = 610,396,048.50
  5. Step 5: Solve for x
    x = 610,396,048.50/38,321
  6. Step 6: Final answer
    x = 15,928.50

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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.