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Finding the Fourth Proportional to 11,286.84, 16,930.08 and 3,078.84

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Solution

The fourth proportional to 11,286.84, 16,930.08 and 3,078.84 is: 4,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.84 : 16,930.08 = 3,078.84 : x
  2. Step 2: Convert to fraction form
    11,286.84/16,930.08 = 3,078.84/x
  3. Step 3: Cross multiply
    11,286.84x = 16,930.08 × 3,078.84
  4. Step 4: Simplify right side
    11,286.84x = 52,125,007.51
  5. Step 5: Solve for x
    x = 52,125,007.51/11,286.84
  6. Step 6: Final answer
    x = 4,618.21

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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.