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Finding the Fourth Proportional to 2,216.45, 3,324.41 and 572.87

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Solution

The fourth proportional to 2,216.45, 3,324.41 and 572.87 is: 859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.45 : 3,324.41 = 572.87 : x
  2. Step 2: Convert to fraction form
    2,216.45/3,324.41 = 572.87/x
  3. Step 3: Cross multiply
    2,216.45x = 3,324.41 × 572.87
  4. Step 4: Simplify right side
    2,216.45x = 1,904,439.57
  5. Step 5: Solve for x
    x = 1,904,439.57/2,216.45
  6. Step 6: Final answer
    x = 859.23

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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.