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Finding the Fourth Proportional to 2,149.62, 3,221.91 and 1,053.78

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Solution

The fourth proportional to 2,149.62, 3,221.91 and 1,053.78 is: 1,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.62 : 3,221.91 = 1,053.78 : x
  2. Step 2: Convert to fraction form
    2,149.62/3,221.91 = 1,053.78/x
  3. Step 3: Cross multiply
    2,149.62x = 3,221.91 × 1,053.78
  4. Step 4: Simplify right side
    2,149.62x = 3,395,184.32
  5. Step 5: Solve for x
    x = 3,395,184.32/2,149.62
  6. Step 6: Final answer
    x = 1,579.43

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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.