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Finding the Fourth Proportional to 18,808.14, 25,942.82 and 12,083.16

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Solution

The fourth proportional to 18,808.14, 25,942.82 and 12,083.16 is: 16,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,808.14 : 25,942.82 = 12,083.16 : x
  2. Step 2: Convert to fraction form
    18,808.14/25,942.82 = 12,083.16/x
  3. Step 3: Cross multiply
    18,808.14x = 25,942.82 × 12,083.16
  4. Step 4: Simplify right side
    18,808.14x = 313,471,244.91
  5. Step 5: Solve for x
    x = 313,471,244.91/18,808.14
  6. Step 6: Final answer
    x = 16,666.79

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1.5x scale

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.