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Finding the Fourth Proportional to 41,442, 62,172.84 and 13,740

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Solution

The fourth proportional to 41,442, 62,172.84 and 13,740 is: 20,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,442 : 62,172.84 = 13,740 : x
  2. Step 2: Convert to fraction form
    41,442/62,172.84 = 13,740/x
  3. Step 3: Cross multiply
    41,442x = 62,172.84 × 13,740
  4. Step 4: Simplify right side
    41,442x = 854,254,821.60
  5. Step 5: Solve for x
    x = 854,254,821.60/41,442
  6. Step 6: Final answer
    x = 20,613.26

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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.