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Finding the Fourth Proportional to 2,153.20, 3,229.04 and 854.56

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Solution

The fourth proportional to 2,153.20, 3,229.04 and 854.56 is: 1,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.20 : 3,229.04 = 854.56 : x
  2. Step 2: Convert to fraction form
    2,153.20/3,229.04 = 854.56/x
  3. Step 3: Cross multiply
    2,153.20x = 3,229.04 × 854.56
  4. Step 4: Simplify right side
    2,153.20x = 2,759,408.42
  5. Step 5: Solve for x
    x = 2,759,408.42/2,153.20
  6. Step 6: Final answer
    x = 1,281.54

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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.