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Finding the Fourth Proportional to 2,216.60, 3,324.99 and 829.57

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Solution

The fourth proportional to 2,216.60, 3,324.99 and 829.57 is: 1,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.60 : 3,324.99 = 829.57 : x
  2. Step 2: Convert to fraction form
    2,216.60/3,324.99 = 829.57/x
  3. Step 3: Cross multiply
    2,216.60x = 3,324.99 × 829.57
  4. Step 4: Simplify right side
    2,216.60x = 2,758,311.95
  5. Step 5: Solve for x
    x = 2,758,311.95/2,216.60
  6. Step 6: Final answer
    x = 1,244.39

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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.