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Finding the Fourth Proportional to 2,174.20, 3,255.50 and 1,482.22

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Solution

The fourth proportional to 2,174.20, 3,255.50 and 1,482.22 is: 2,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.20 : 3,255.50 = 1,482.22 : x
  2. Step 2: Convert to fraction form
    2,174.20/3,255.50 = 1,482.22/x
  3. Step 3: Cross multiply
    2,174.20x = 3,255.50 × 1,482.22
  4. Step 4: Simplify right side
    2,174.20x = 4,825,374.98
  5. Step 5: Solve for x
    x = 4,825,374.98/2,174.20
  6. Step 6: Final answer
    x = 2,219.38

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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.