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Finding the Fourth Proportional to 2,152.70, 3,229.25 and 854

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Solution

The fourth proportional to 2,152.70, 3,229.25 and 854 is: 1,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.70 : 3,229.25 = 854 : x
  2. Step 2: Convert to fraction form
    2,152.70/3,229.25 = 854/x
  3. Step 3: Cross multiply
    2,152.70x = 3,229.25 × 854
  4. Step 4: Simplify right side
    2,152.70x = 2,757,781.64
  5. Step 5: Solve for x
    x = 2,757,781.64/2,152.70
  6. Step 6: Final answer
    x = 1,281.08

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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.