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Finding the Fourth Proportional to 41,907, 62,868.22 and 13,829

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Solution

The fourth proportional to 41,907, 62,868.22 and 13,829 is: 20,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,907 : 62,868.22 = 13,829 : x
  2. Step 2: Convert to fraction form
    41,907/62,868.22 = 13,829/x
  3. Step 3: Cross multiply
    41,907x = 62,868.22 × 13,829
  4. Step 4: Simplify right side
    41,907x = 869,404,614.38
  5. Step 5: Solve for x
    x = 869,404,614.38/41,907
  6. Step 6: Final answer
    x = 20,746.05

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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.