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Finding the Fourth Proportional to 3,202.70, 4,420.82 and 1,876.82

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Solution

The fourth proportional to 3,202.70, 4,420.82 and 1,876.82 is: 2,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.70 : 4,420.82 = 1,876.82 : x
  2. Step 2: Convert to fraction form
    3,202.70/4,420.82 = 1,876.82/x
  3. Step 3: Cross multiply
    3,202.70x = 4,420.82 × 1,876.82
  4. Step 4: Simplify right side
    3,202.70x = 8,297,065.98
  5. Step 5: Solve for x
    x = 8,297,065.98/3,202.70
  6. Step 6: Final answer
    x = 2,590.65

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1.5x scale

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.