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Finding the Fourth Proportional to 23,676, 32,677.20 and 13,740

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Solution

The fourth proportional to 23,676, 32,677.20 and 13,740 is: 18,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676 : 32,677.20 = 13,740 : x
  2. Step 2: Convert to fraction form
    23,676/32,677.20 = 13,740/x
  3. Step 3: Cross multiply
    23,676x = 32,677.20 × 13,740
  4. Step 4: Simplify right side
    23,676x = 448,984,728
  5. Step 5: Solve for x
    x = 448,984,728/23,676
  6. Step 6: Final answer
    x = 18,963.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.