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Finding the Fourth Proportional to 2,153.84, 3,231.72 and 854.96

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Solution

The fourth proportional to 2,153.84, 3,231.72 and 854.96 is: 1,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.84 : 3,231.72 = 854.96 : x
  2. Step 2: Convert to fraction form
    2,153.84/3,231.72 = 854.96/x
  3. Step 3: Cross multiply
    2,153.84x = 3,231.72 × 854.96
  4. Step 4: Simplify right side
    2,153.84x = 2,762,991.33
  5. Step 5: Solve for x
    x = 2,762,991.33/2,153.84
  6. Step 6: Final answer
    x = 1,282.82

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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.