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Finding the Fourth Proportional to 25,821, 38,704.82 and 10,836.81

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Solution

The fourth proportional to 25,821, 38,704.82 and 10,836.81 is: 16,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,821 : 38,704.82 = 10,836.81 : x
  2. Step 2: Convert to fraction form
    25,821/38,704.82 = 10,836.81/x
  3. Step 3: Cross multiply
    25,821x = 38,704.82 × 10,836.81
  4. Step 4: Simplify right side
    25,821x = 419,436,726.24
  5. Step 5: Solve for x
    x = 419,436,726.24/25,821
  6. Step 6: Final answer
    x = 16,244.02

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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.