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Finding the Fourth Proportional to 2,286.12, 3,160.98 and 2,181

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Solution

The fourth proportional to 2,286.12, 3,160.98 and 2,181 is: 3,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.12 : 3,160.98 = 2,181 : x
  2. Step 2: Convert to fraction form
    2,286.12/3,160.98 = 2,181/x
  3. Step 3: Cross multiply
    2,286.12x = 3,160.98 × 2,181
  4. Step 4: Simplify right side
    2,286.12x = 6,894,097.38
  5. Step 5: Solve for x
    x = 6,894,097.38/2,286.12
  6. Step 6: Final answer
    x = 3,015.63

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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.