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Finding the Fourth Proportional to 36,515, 54,772.62 and 8,813

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Solution

The fourth proportional to 36,515, 54,772.62 and 8,813 is: 13,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,515 : 54,772.62 = 8,813 : x
  2. Step 2: Convert to fraction form
    36,515/54,772.62 = 8,813/x
  3. Step 3: Cross multiply
    36,515x = 54,772.62 × 8,813
  4. Step 4: Simplify right side
    36,515x = 482,711,100.06
  5. Step 5: Solve for x
    x = 482,711,100.06/36,515
  6. Step 6: Final answer
    x = 13,219.53

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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.