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Finding the Fourth Proportional to 12,829, 17,704.20 and 7,861

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Solution

The fourth proportional to 12,829, 17,704.20 and 7,861 is: 10,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829 : 17,704.20 = 7,861 : x
  2. Step 2: Convert to fraction form
    12,829/17,704.20 = 7,861/x
  3. Step 3: Cross multiply
    12,829x = 17,704.20 × 7,861
  4. Step 4: Simplify right side
    12,829x = 139,172,716.20
  5. Step 5: Solve for x
    x = 139,172,716.20/12,829
  6. Step 6: Final answer
    x = 10,848.29

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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.