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Finding the Fourth Proportional to 12,182.86, 16,812 and 6,878.17

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Solution

The fourth proportional to 12,182.86, 16,812 and 6,878.17 is: 9,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.86 : 16,812 = 6,878.17 : x
  2. Step 2: Convert to fraction form
    12,182.86/16,812 = 6,878.17/x
  3. Step 3: Cross multiply
    12,182.86x = 16,812 × 6,878.17
  4. Step 4: Simplify right side
    12,182.86x = 115,635,794.04
  5. Step 5: Solve for x
    x = 115,635,794.04/12,182.86
  6. Step 6: Final answer
    x = 9,491.68

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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.