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Finding the Fourth Proportional to 11,314.14, 16,982 and 6,940.14

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Solution

The fourth proportional to 11,314.14, 16,982 and 6,940.14 is: 10,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.14 : 16,982 = 6,940.14 : x
  2. Step 2: Convert to fraction form
    11,314.14/16,982 = 6,940.14/x
  3. Step 3: Cross multiply
    11,314.14x = 16,982 × 6,940.14
  4. Step 4: Simplify right side
    11,314.14x = 117,857,457.48
  5. Step 5: Solve for x
    x = 117,857,457.48/11,314.14
  6. Step 6: Final answer
    x = 10,416.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.