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Finding the Fourth Proportional to 41,523, 62,285.04 and 13,821

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Solution

The fourth proportional to 41,523, 62,285.04 and 13,821 is: 20,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,523 : 62,285.04 = 13,821 : x
  2. Step 2: Convert to fraction form
    41,523/62,285.04 = 13,821/x
  3. Step 3: Cross multiply
    41,523x = 62,285.04 × 13,821
  4. Step 4: Simplify right side
    41,523x = 860,841,537.84
  5. Step 5: Solve for x
    x = 860,841,537.84/41,523
  6. Step 6: Final answer
    x = 20,731.68

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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.