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Finding the Fourth Proportional to 12,170.70, 16,797.30 and 6,866

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Solution

The fourth proportional to 12,170.70, 16,797.30 and 6,866 is: 9,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.70 : 16,797.30 = 6,866 : x
  2. Step 2: Convert to fraction form
    12,170.70/16,797.30 = 6,866/x
  3. Step 3: Cross multiply
    12,170.70x = 16,797.30 × 6,866
  4. Step 4: Simplify right side
    12,170.70x = 115,330,261.80
  5. Step 5: Solve for x
    x = 115,330,261.80/12,170.70
  6. Step 6: Final answer
    x = 9,476.06

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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.