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Finding the Fourth Proportional to 38,515, 57,772.50 and 10,813

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Solution

The fourth proportional to 38,515, 57,772.50 and 10,813 is: 16,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,515 : 57,772.50 = 10,813 : x
  2. Step 2: Convert to fraction form
    38,515/57,772.50 = 10,813/x
  3. Step 3: Cross multiply
    38,515x = 57,772.50 × 10,813
  4. Step 4: Simplify right side
    38,515x = 624,694,042.50
  5. Step 5: Solve for x
    x = 624,694,042.50/38,515
  6. Step 6: Final answer
    x = 16,219.50

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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.