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Finding the Fourth Proportional to 2,171.98, 2,996.22 and 1,385.20

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Solution

The fourth proportional to 2,171.98, 2,996.22 and 1,385.20 is: 1,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.98 : 2,996.22 = 1,385.20 : x
  2. Step 2: Convert to fraction form
    2,171.98/2,996.22 = 1,385.20/x
  3. Step 3: Cross multiply
    2,171.98x = 2,996.22 × 1,385.20
  4. Step 4: Simplify right side
    2,171.98x = 4,150,363.94
  5. Step 5: Solve for x
    x = 4,150,363.94/2,171.98
  6. Step 6: Final answer
    x = 1,910.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.