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Finding the Fourth Proportional to 2,153.82, 3,231.27 and 855.66

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Solution

The fourth proportional to 2,153.82, 3,231.27 and 855.66 is: 1,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.82 : 3,231.27 = 855.66 : x
  2. Step 2: Convert to fraction form
    2,153.82/3,231.27 = 855.66/x
  3. Step 3: Cross multiply
    2,153.82x = 3,231.27 × 855.66
  4. Step 4: Simplify right side
    2,153.82x = 2,764,868.49
  5. Step 5: Solve for x
    x = 2,764,868.49/2,153.82
  6. Step 6: Final answer
    x = 1,283.70

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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.