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Finding the Fourth Proportional to 2,821.64, 4,221.42 and 2,493.32

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Solution

The fourth proportional to 2,821.64, 4,221.42 and 2,493.32 is: 3,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.64 : 4,221.42 = 2,493.32 : x
  2. Step 2: Convert to fraction form
    2,821.64/4,221.42 = 2,493.32/x
  3. Step 3: Cross multiply
    2,821.64x = 4,221.42 × 2,493.32
  4. Step 4: Simplify right side
    2,821.64x = 10,525,350.91
  5. Step 5: Solve for x
    x = 10,525,350.91/2,821.64
  6. Step 6: Final answer
    x = 3,730.22

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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.