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Finding the Fourth Proportional to 2,154, 3,231 and 856.38

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Solution

The fourth proportional to 2,154, 3,231 and 856.38 is: 1,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154 : 3,231 = 856.38 : x
  2. Step 2: Convert to fraction form
    2,154/3,231 = 856.38/x
  3. Step 3: Cross multiply
    2,154x = 3,231 × 856.38
  4. Step 4: Simplify right side
    2,154x = 2,766,963.78
  5. Step 5: Solve for x
    x = 2,766,963.78/2,154
  6. Step 6: Final answer
    x = 1,284.57

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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.