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Finding the Fourth Proportional to 12,395, 17,105.10 and 6,806

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Solution

The fourth proportional to 12,395, 17,105.10 and 6,806 is: 9,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395 : 17,105.10 = 6,806 : x
  2. Step 2: Convert to fraction form
    12,395/17,105.10 = 6,806/x
  3. Step 3: Cross multiply
    12,395x = 17,105.10 × 6,806
  4. Step 4: Simplify right side
    12,395x = 116,417,310.60
  5. Step 5: Solve for x
    x = 116,417,310.60/12,395
  6. Step 6: Final answer
    x = 9,392.28

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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.