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Finding the Fourth Proportional to 11,862, 16,371 and 6,894

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Solution

The fourth proportional to 11,862, 16,371 and 6,894 is: 9,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862 : 16,371 = 6,894 : x
  2. Step 2: Convert to fraction form
    11,862/16,371 = 6,894/x
  3. Step 3: Cross multiply
    11,862x = 16,371 × 6,894
  4. Step 4: Simplify right side
    11,862x = 112,861,674
  5. Step 5: Solve for x
    x = 112,861,674/11,862
  6. Step 6: Final answer
    x = 9,514.56

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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.