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Finding the Fourth Proportional to 2,141.70, 3,211.76 and 825.54

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Solution

The fourth proportional to 2,141.70, 3,211.76 and 825.54 is: 1,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.70 : 3,211.76 = 825.54 : x
  2. Step 2: Convert to fraction form
    2,141.70/3,211.76 = 825.54/x
  3. Step 3: Cross multiply
    2,141.70x = 3,211.76 × 825.54
  4. Step 4: Simplify right side
    2,141.70x = 2,651,436.35
  5. Step 5: Solve for x
    x = 2,651,436.35/2,141.70
  6. Step 6: Final answer
    x = 1,238.01

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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.