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Finding the Fourth Proportional to 13,882, 20,825.72 and 6,956.52

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Solution

The fourth proportional to 13,882, 20,825.72 and 6,956.52 is: 10,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882 : 20,825.72 = 6,956.52 : x
  2. Step 2: Convert to fraction form
    13,882/20,825.72 = 6,956.52/x
  3. Step 3: Cross multiply
    13,882x = 20,825.72 × 6,956.52
  4. Step 4: Simplify right side
    13,882x = 144,874,537.69
  5. Step 5: Solve for x
    x = 144,874,537.69/13,882
  6. Step 6: Final answer
    x = 10,436.14

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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.